Publikationen
[seit 1994]
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Bücher
S.-M. Grad: Vector optimization and monotone operators via convex duality, Springer-Verlag, Cham, 2015
E. R. Csetnek: Overcoming the failure of the classical generalized interior-point regularity conditions in convex optimization. Applications of the duality theory to enlargements of maximal monotone operators, Logos Verlag, Berlin, 2010
R. I. Boţ: Conjugate duality in convex optimization, Lecture Notes in Economics and Mathematical Systems 637, Springer-Verlag, Berlin Heidelberg, 2010
R. I. Boţ, S.-M. Grad, G. Wanka: Duality in vector optimization, Springer-Verlag, Berlin Heidelberg, 2009
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2023
S. Bitterlich, S.-M. Grad: Stochastic incremental mirror descent algorithms with Nesterov smoothing, Numerical Algorithms, 1-32
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2021
S. Bitterlich, E.R. Csetnek, G. Wanka: A Dynamical Approach to Two-Block Seperable Convex Optimization Problems with Linear Constraints, Numerical Functional Analysis and Optimization 42(1), 1-38
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2019
S.-M. Grad, O. Wilfer: A proximal method for solving nonlinear minmax location problems with perturbed minimal time functions via conjugate duality, Journal of Global Optimization 74(1), 121-160
S. Bitterlich, R.I. Boţ, E.R. Csetnek, G. Wanka: The Proximal Alternating Minimization Algorithm for two-block separable convex optimization problems with linear constraints, Journal of Optimization Theory and Applications 182(1), 110–132
G. Wanka, O. Wilfer: Multifacility Minimax Location Problems via Multi-Composed Optimization, Minimax Theory and its Applications 4(2), 355-386
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2018
R. I. Boţ, S.-M. Grad: Inertial forward-backward methods for solving vector optimization problems, Optimization 67(7), 959-974 [pdf]
G. Wanka, O. Wilfer: Duality results for extended multifacility location problems, Optimization 67(7), 1095-1119
S.-M. Grad: Characterizations via linear scalarization of minimal and properly minimal elements, Optimization Letters 12(4), 915-922
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2017
G. Wanka, O. Wilfer: Duality results for nonlinear single minimax location problems via multi-composed optimization, Mathematical Methods of Operations Research 86(2), 401-439
G. Wanka, O. Wilfer: A Lagrange duality approach for multi-composed optimization problem, TOP 25(2), 288-313
S.-M. Grad: On gauge functions for convex cones with possibly empty interiors, Journal of Convex Analysis 24(2), 519-524
S.-M. Grad, G. Wanka, O. Wilfer: Duality and ε-optimality conditions for multi-composed optimization problems with applications to fractional and entropy optimization, Pure and Applied Functional Analysis 2(1), 43-63
G. Wanka, O. Wilfer: Solving minimax location problems via epigraphical projection I, Proceedings ISOLDE XIV Conference, International Symposium on Locational Decisions, Toronto & Huntsville, Ontario, Canada, July 9-14, 233-235
G. Wanka, O. Wilfer: Solving minimax location problems via epigraphical projection II, Proceedings ISOLDE XIV Conference, International Symposium on Locational Decisions, Toronto & Huntsville, Ontario, Canada, July 9-14, 236-239
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2016
R. I. Boţ, C. Hendrich: Solving monotone inclusions involving parallel sums of linearly composed maximally monotone operators, Inverse Problems and Imaging 10(3), 617-640
S.-M. Grad: Closedness type regularity conditions in convex optimization and beyond, Frontiers in Applied Mathematics and Statistics - Optimization 2:14 [pdf]
S.-M. Grad: Duality for multiobjective semidefinite optimization problems, Operations Research Proceedings 2014, Springer-Verlag, Cham, 189-195
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2015
S.-M. Grad, G. Wanka: On biconjugates of infimal functions, Optimization 64(8), 1759-1775 [pdf]
R. I. Boţ, C. Hendrich: Convex risk minimization via proximal splitting methods, Optimization Letters 9(5), 867-885
R. I. Boţ, C. Hendrich: A variable smoothing algorithm for solving convex optimization problems, TOP 23(1), 124-150
R. I. Boţ, E.R. Csetnek, A. Heinrich, C. Hendrich: On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems, Mathematical Programming 150(1), 251-279
R. I. Boţ, E.R. Csetnek, C. Hendrich: Inertial Douglas-Rachford splitting for monotone inclusion problems, Applied Mathematics and Computation 256(1), 472-487
R. I. Boţ, C. Hendrich: On the Acceleration of the Double Smoothing Technique for Unconstrained Convex Optimization Problems, Optimization 64(2), 265-288
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2014
R. I. Boţ, A. Heinrich: Regression Tasks in Machine Learning via Fenchel Duality, Annals of Operations Research 222(1), 197-211
R. I. Boţ, E. R. Csetnek, C. Hendrich: Recent developments on primal-dual splitting methods with applications to convex minimization, Mathematics Without Boundaries: Surveys in Interdisciplinary Research (P.M. Pardalos and T.M. Rassias, Editors), Springer-Verlag, New York, 57-99
R. I. Boţ, C. Hendrich: Convergence analysis for a primal-dual monotone + skew splitting algorithm with applications to total variation minimization, Journal of Mathematical Imaging and Vision 49(3), 551-568
S.-M. Grad, E.L. Pop: Alternative generalized Wolfe type and Mond-Weir type vector duality, Journal of Nonlinear and Convex Analysis 15(5), 867-884
S.-M. Grad, E.L. Pop: Characterizing relatively minimal elements via linear scalarization, Operations Research Proceedings 2013, Springer-Verlag, Cham, 153-159
S.-M. Grad, E. L. Pop: Vector duality for convex vector optimization problems by means of the quasi-interior of the ordering cone, Optimization 63(1), 21-37
R. I. Boţ, A. Heinrich, G. Wanka: Employing Different Loss Functions for the Classification of Images via Supervised Learning, Central European Journal of Mathematics 12(2), 381-394
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2013
R. I. Boţ, C. Hendrich: A Douglas-Rachford type primal-dual method for solving inclusions with mixtures of composite and parallel-sum type monotone operators, SIAM Journal on Optimization 23(4), 2541-2565
R. I. Boţ, E. R. Csetnek, E. Nagy: Solving Systems of Monotone Inclusions via Primal-Dual Splitting Techniques, Taiwanese Journal of Mathematics 17(6), 1983-2009
R. I. Boţ, E. R. Csetnek: Conjugate duality and the control of linear discrete systems, Journal of Optimization Theory and Applications 159(3), 576-589
R. I. Boţ, E. R. Csetnek, A. Heinrich: A primal-dual splitting algorithm for nding zeros of sums of maximal monotone operators, SIAM Journal on Optimization 23(4), 2011-2036
S.-M. Grad, H. V. Boncea: Characterizations of ε-duality gap statements for composed optimization problems, Nonlinear Analysis: Theory, Methods & Applications 92(1), 96-107
S.-M. Grad, H. V. Boncea: Characterizations of ε-duality gap statements for constrained optimization problems, Central European Journal of Mathematics 11(11), 2020-2033
R. I. Boţ, B. Hofmann, P. Mathé: Regularizability of Ill-Posed Problems and the Modulus of Continuity, Zeitschrift für Analysis und ihre Anwendungen (Journal of Analysis and its Applications) 32(3), 299-312
R. I. Boţ, E.R. Csetnek: A Brøndsted-Rockafellar Theorem for Diagonal Subdifferential Operators, Computational and Analytical Mathematics, (D. Bailey, H.H. Bauschke, P. Borwein, F. Garvan, M. Théra, J. Vanderwerff, and H. Wolkowicz, Editors), Springer-Verlag, New York, 99-106
R. I. Boţ, V. Jeyakumar, G. Y. Li: Robust Duality in Parametric Convex Optimization, Set-Valued and Variational Analysis 21(2), 177-189
R. I. Boţ, B. Hofmann: The Impact of a Curious Type of Smoothness Conditions on Convergence Rates in l1-Regularization, Eurasian Journal of Mathematical and Computer Applications 1(1), 29-40
L. Cioban, E.R. Csetnek: Revisiting the construction of gap functions for variational inequalities and equilibrium problems via conjugate duality, Central European Journal of Mathematics 11(5), 829-850
R. I. Boţ, C. Hendrich: A Double Smoothing Technique for Solving Unconstrained Nondifferentiable Convex Optimization Problems, Computational Optimization and Applications 54(2), 239-262
G. Wanka: Vektoroptimierung, Springer-Handbuch der Mathematik III, Springer-Verlag, 327-335
G. Wanka: Portfoliooptimierung, Springer-Handbuch der Mathematik III, Springer-Verlag, 336-341
G. Wanka: Vektoroptimierung, Springer-Taschenbuch der Mathematik, 3. neu bearb. und erw. Aufl., Springer-Verlag, 1075-1084
G. Wanka: Portfoliooptimierung, Springer-Taschenbuch der Mathematik, 3. neu bearb. und erw. Aufl., Springer-Verlag, 1084-1089
L. Altangerel, G. Wanka, O. Wilfer: An Oriented Distance Function Application to Gap Functions for Vector Variational Inequalities, A. Chinchuluun, P. Pardalos, R. Enkhbat, E.N. Pistikopoulos, "Optimization, Simulation, and Control", Springer Optimization and Its Applications 76, Springer-Verlag New York, 17-34
N. Lorenz, G. Wanka: Scalar and Vector Optimization with Composed Objective Functions and Constraints, A. Chinchuluun, P. Pardalos, R. Enkhbat, E.N. Pistikopoulos, "Optimization, Simulation, and Control", Springer Optimization and Its Applications 76, Springer-Verlag New York, 107-130
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2012
R. I. Boţ, T. Hein: Iterative Regularization with General Penalty Term -- Theory and Application to L1- and TV-Regularization, Inverse Problems 28, 104010 (19pp)
R. I. Boţ, S.-M. Grad: Approaching the Maximal Monotonicity of Bifunctions via Representative Functions, Journal of Convex Analysis 19 (3), 713-724
R. I. Boţ, E. R. Csetnek: Error Bound Results for Convex Inequality Systems via Conjugate Duality, TOP 20(2), 296-309
H. H. Bauschke, R. I. Boţ, W. L. Hare, W. M. Moursi: Attouch-Théra duality revisited: Paramonotonicity and operator splitting, Journal of Approximation Theory 164(8), 1065-1084
R. I. Boţ, E. R. Csetnek: On Some Erroneous Statements in the Paper "Optimality Conditions for Extended Ky Fan Inequality with Cone and Affine Constraints and Their Applications" by A. Capătă, Journal of Optimization Theory and Applications 153(2), 546-550
L. Cioban, E.R. Csetnek: Duality for ε-variational inequalities via the subdifferential calculus, Nonlinear Analysis: Theory, Methods & Application, 75(6), 3142-3156
R. I. Boţ, S. László: On the Generalized Parallel Sum of Two Maximal Monotone Operators of Gossez Type (D), Journal of Mathematical Analysis and Applications 391 (1), 82-98
R. I. Boţ, E. R. Csetnek: Regularity conditions via generalized interiority notions in convex optimization: new achievements and their relation to some classical statements, Optimization, 61 (1), 35-65
R. I. Boţ, S.-M. Grad, G. Wanka: Classical linear vector optimization duality revisited, Optimization Letters 6 (1), 199-210
R. I. Boţ: An Upper Estimate for the Clarke Subdifferential of an Infimal Value Function Proved Via the Mordukhovich Subdifferential, Nonlinear Analysis: Theory, Methods & Applications 75 (3), 1141-1146
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2011
R. I. Boţ, S.-M. Grad: Duality for vector optimization problems via a general scalarization, Optimization 60 (10-11), 1269-1290
G. Wanka: Conjugate Duality in Multiobjective Optimization, Mathematics, its Applications and Mathematical Education (MAME'11), Proceedings of the Fourth International Conference Ulan-Ude, June, 27-July, 1, 2011, Vol. 1, East-Siberian State University of Technology, Ulan-Ude, pp. 112-116
R. I. Boţ, A. R. Frătean: Looking for appropriate qualification conditions for subdifferential formulae and dual representations for convex risk measures, Mathematical Methods of Operations Research 74 (2), 191-215
R. I. Boţ, S.-M. Grad: On linear vector optimization duality in infinite-dimensional spaces, Numerical Algebra, Control and Optimization 1 (3), 407-415
R. I. Boţ, N. Lorenz: Optimization Problems in Statistical Learning: Duality and Optimality Conditions, European Journal of Operational Research 213 (2), 395-404
R. I. Boţ, D. M. Nechita: On the Dini-Hadamard subdifferential of the difference of two functions, Journal of Global Optimization 50 (3), 485-502
R. I. Boţ, E. R. Csetnek: A comparison of some recent regularity conditions for Fenchel duality, in: H.H. Bauschke, R.S. Burachik, P.L. Combettes, V. Elser, D.R. Luke, H. Wolkowicz (Eds.), "Fixed-Point Algorithms for Inverse Problems in Science and Engineering", Springer Optimization and Its Applications, Springer-Verlag New York, 111-130
R. I. Boţ, S.-M. Grad: Extending the classical vector Wolfe and Mond-Weir duality concepts via perturbations, Journal of Nonlinear and Convex Analysis 12 (1), 81-101
R. I. Boţ, S.-M. Grad: Closedness type regularity conditions for surjectivity results involving the sum of two maximal monotone operators, Central European Journal of Mathematics 9 (1), 162-172
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2010
L. Altangerel, G. Wanka: Gap functions for vector equilibrium problems via conjugate duality, in: "Optimization and Optimal Control", Optimization and Its Applications 39, Springer Verlag, Berlin and Heidelberg, 185-197
R. I. Boţ, B. Hofmann: An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems, Journal of Integral Equations and Applications 22 (3), 369-392
R. I. Boţ, E. R. Csetnek: On a zero duality gap result in extended monotropic programming, Journal of Optimization Theory and Applications 147 (3), 473-482
R. I. Boţ, E. R. Csetnek: On extension results for n-cyclically monotone operators in reflexive Banach spaces, Journal of Mathematical Analysis and Applications 367 (2), 693-698
R. I. Boţ, S.-M. Grad: Wolfe duality and Mond-Weir duality via perturbations, Nonlinear Analysis: Theory, Methods & Applications 73(2), 374-384
R. I. Boţ, N. Lorenz, G. Wanka: Dual representations for convex risk measures via conjugate duality, Journal of Optimization Theory and Applications 144 (2), 185-203
R. I. Boţ, A. Löhne: On totally Fenchel unstable functions in finite dimensional spaces, Mathematical Programming 123 (1), 25-31
R. I. Boţ, A. E. Capătă: Existence results and gap functions for the generalized equilibrium problem with composed functions, Nonlinear Analysis: Theory, Methods & Applications 72 (1), 316-324
R. I. Boţ, S.-M. Grad: Lower semicontinuous type regularity conditions for subdifferential calculus, Optimization Methods and Software 25 (1), 37 - 48
R. I. Boţ, N. Lorenz, G. Wanka: Duality for linear chance-constrained optimization problems, Journal of the Korean Mathematical Society 47 (1), 17-28
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2009
R. I. Boţ, S. M. Grad, G. Wanka:Generalized Moreau-Rockafellar results for composed convex functions, Optimization 58 (7), 917-933
R. I. Boţ, E. R. Csetnek: On two properties of enlargements of maximal monotone operators, Journal of Convex Analysis 16 (3-4), 713-725
R. I. Boţ, A. Dumitru, G. Wanka: A new Fenchel dual problem in vector optimization, Proceedings of the Indian Academy of Sciences - Mathematical Sciences 119 (2), 251-265
R. I. Boţ, E. R. Csetnek: Enlargements of positive sets, Journal of Mathematical Analysis and Applications 356 (1), 328-337
R. I. Boţ, N. Lorenz, G. Wanka: Optimality conditions for portfolio optimization problems with convex deviation measures as objective functions, Taiwanese Journal of Mathematics 13 (2A), 515-533
R. I. Boţ, S.-M. Grad, G. Wanka: New regularity conditions for Lagrange and Fenchel-Lagrange duality in infinite dimensional spaces, Mathematical Inequalities & Applications 12 (1), 171-189
R. I. Boţ, E. R. Csetnek: On an Open Problem Regarding Totally Fenchel Unstable Functions, Proceedings of the American Mathematical Society 137 (5), 1801-1805
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2008
R. I. Boţ, S.-M. Grad: Regularity Conditions for Formulae of Biconjugate Functions, Taiwanese Journal of Mathematics 12 (8), 1921-1942
R. I. Boţ, E. R. Csetnek: An Application of the Bivariate Inf-Convolution Formula to Enlargements of Monotone Operators, Set-Valued Analysis 16 (7-8), 983-997
R. I. Boţ, G. Kassay, G. Wanka: Duality for almost convex optimization problems via the perturbation approach, Journal of Global Optimization 42 (3), 385-399
R. I. Boţ, E. R. Csetnek, G. Wanka: On some abstract convexity notions in real linear spaces, Mathematical Inequalities & Applications 11 (3), 571-583
R. I. Boţ, A. Grad, G. Wanka: Sequential characterization of solutions in convex composite programming and applications to vector optimization, Journal of Industrial and Management Optimization 4 (4), 767-782
R. I. Boţ, E. R. Csetnek, A. Moldovan: Revisiting some duality theorems via the quasirelative interior in convex optimization, Journal of Optimization Theory and Applications 139 (1), 67-84
R. I. Boţ, I. B. Hodrea, G. Wanka: ε-Optimality conditions for composed convex optimization problems, Journal of Approximation Theory 153 (1), 108-121
R. I. Boţ, I. B. Hodrea, G. Wanka: Optimality conditions for weak efficiency to vector optimization problems with composed convex functions, Central European Journal of Mathematics 6 (3), 453-468
R. I. Boţ, G. Wanka: The conjugate of the pointwise maximum of two convex functions revisited, Journal of Global Optimization 41 (4), 625-632
I. Costantea, R. I. Boţ, G. Wanka: Patent document classification based on mutual information feature selection, Italian Journal of Pure and Applied Mathematics 23, 121-136
R. I. Boţ, S.-M. Grad, G. Wanka: New regularity conditions for strong and total Fenchel-Lagrange duality in infinite dimensional spaces, Nonlinear Analysis: Theory, Methods & Applications 69 (1), 323-336
R. I. Boţ, S.-M. Grad, G. Wanka: A new constraint qualification for the formula of the subdifferential of composed convex functions in infinite dimensional spaces, Mathematische Nachrichten 281 (8), 1088-1107
R. I. Boţ, E. R. Csetnek, G. Wanka: Sequential optimality conditions for composed convex optimization problems, Journal of Mathematical Analysis and Applications 342 (2), 1015-1025
R. I. Boţ, E. R. Csetnek, G. Wanka: Regularity Conditions via Quasi-Relative Interior in Convex Programming, SIAM Journal on Optimization 19 (1), 217-233
R. I. Boţ, E. R. Csetnek, G. Wanka: Sequential Optimality Conditions in Convex Programming via Perturbation Approach, Journal of Convex Analysis 15 (1), 149-164
R. I. Boţ, S.-M. Grad, G. Wanka: On strong and total Lagrange duality for convex optimization problems, Journal of Mathematical Analysis and Applications 337 (2), 1315-1325
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2007
R. I. Boţ, I. B. Hodrea, G. Wanka: Some New Farkas-Type Results for Inequality Systems with DC Functions, Journal of Global Optimization 59 (4), 595-608
R. I. Boţ, S.-M. Grad, G. Wanka: New constraint qualification and conjugate duality for composed convex optimization problems, Journal of Optimization Theory and Applications 135 (2), 241-255
R. I. Boţ, E. Vargyas, G. Wanka: On the relations between different duals assigned to composed optimization problems, Mathematical Methods of Operations Research 66 (1), 47-68
L. Altangerel, R. I. Boţ, G. Wanka: Variational principles for vector equilibrium problems related to conjugate duality, Journal of Nonlinear and Convex Analysis 8 (2), 179-196
R. I. Boţ, S.-M. Grad, G. Wanka: Brézis-Haraux-Type Approximation in Nonreflexive Banach Spaces, in: E. Allevi, M. Bertocchi, A. Gnudi, I. V. Konnov (Eds.), "Nonlinear Analysis with Applications in Economics, Energy and Transportation", Bergamo University Press, Bergamo, 155-170
R. I. Boţ, R. Chares, G. Wanka: Comparison between different duals in multiobjective fractional programming, Central European Journal of Mathematics 5 (3), 452-469
R. I. Boţ, E. Vargyas, G. Wanka: Conjugate duality for multiobjective composed optimization problems, Acta Mathematica Hungarica 116 (3), 177-196
R. I. Boţ, S.-M. Grad, G. Wanka: Fenchel's duality theorem for nearly convex functions, Journal of Optimization Theory and Applications 132 (3), 509-515
L. Altangerel, R. I. Boţ, G. Wanka: On the construction of gap functions for variational inequalities via conjugate duality, Asia-Pacific Journal of Operational Research 24 (3), 353-371
R. I. Boţ, E. R. Csetnek, G. Wanka: A new condition for maximal monotonicity via representative functions, Nonlinear Analysis: Theory, Methods & Applications 67 (8), 2390-2402
R. I. Boţ, S.-M. Grad, G. Wanka: A general approach for studying duality in multiobjective optimization, Mathematical Methods of Operations Research 65 (3), 417-444
R. I. Boţ, I. B. Hodrea, G. Wanka: Farkas-type results for fractional programming problems, Nonlinear Analysis: Theory, Methods & Applications 67 (6), 1690-1703
R. I. Boţ, S.-M. Grad, G. Wanka: A new regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces. Applications for maximal monotone operators, in: Seminario "Mario Volpato" 3, Universitá' Ca'Foscari Venezia, 16-30
R. I. Boţ, I. B. Hodrea, G. Wanka: On some general Farkas-type results and their applications, in: Seminario "Mario Volpato" 3, Universitá' Ca'Foscari Venezia, 1-15
R. I. Boţ, S.-M. Grad, G. Wanka: Weaker constraint qualifications in maximal monotonicity, Numerical Functional Analysis and Optimization 28 (1-2), 27-41
L. Altangerel, R. I. Boţ, G. Wanka: Conjugate duality in vector optimization and some applications to the vector variational inequality, Journal of Mathematical Analysis and Applications 329 (2), 1010-1035
R. I. Boţ, S.-M. Grad, G. Wanka: Maximal monotonicity for the precomposition with a linear operator, SIAM Journal on Optimization 17 (4), 1239-1252
G. Wanka, R. I. Boţ, E. Vargyas: Duality for location problems with unbounded unit balls, European Journal of Operational Research 179 (3), 1252-1265
R. I. Boţ, S.-M. Grad, G. Wanka: Almost convex functions: conjugacy and duality, in: I.V. Konnov, D.T. Luc, A.M. Rubinov (Eds.), "Generalized convexity and related topics", Lecture Notes in Economics and Mathematical Systems 583, Springer Verlag, Berlin and Heidelberg, 101-114
N. Lorenz: Portfoliooptimierung im Bereich niedrigen Risikos, Tagungsband zum Workshop "Stochastische Analysis" 20.-22.09.2006, TU Chemnitz, 111-151
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2006
R. I. Boţ, R. Chares, G. Wanka: Duality for multiobjective fractional programming problems, Nonlinear Analysis Forum 11 (2), 185-201
R. I. Boţ, S.-M. Grad, G. Wanka: Fenchel-Lagrange duality versus geometric duality in convex optimization, Journal of Optimization Theory and Applications 129 (1), 33-54
R. I. Boţ, S.-M. Grad, G. Wanka:Brezis-Haraux-type approximation of the range of a monotone operator composed with a linear mapping, in: Z. Kása, G. Kassay, J. Kolumbán (Eds.), "Proceedings of the International Conference In Memoriam Gyula Farkas", Cluj University Press, Cluj-Napoca, 36-49
R. I. Boţ, I. B. Hodrea, G. Wanka: Composed convex programming: duality and Farkas-type results, in: Z. Kása, G. Kassay, J. Kolumbán (Eds.), "Proceedings of the International Conference In Memoriam Gyula Farkas", Cluj University Press, Cluj-Napoca, 22-35
R. I. Boţ, G. Wanka: Farkas-type results for max-functions and applications, Positivity 10 (4), 761-777
L. Altangerel, R. I. Boţ, G. Wanka: On gap functions for equilibrium problems via Fenchel duality, Pacific Journal of Optimization 2 (3), 667-678
I. B. Hodrea, R. I. Boţ, G. Wanka: The Rose-Gurewitz-Fox approach applied for patents classification, European Journal of Operational Research 173 (3), 815-826
R. I. Boţ, I. B. Hodrea, G. Wanka: Farkas-type results for inequality systems with composed convex functions via conjugate duality, Journal of Mathematical Analysis and Applications 322 (1), 316-328
R. I. Boţ, G. Wanka: A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces, Nonlinear Analysis: Theory, Methods & Applications 64 (12), 2787-2804
R. I. Boţ, G. Wanka: An Alternative Formulation for a New Closed Cone Constraint Qualification, Nonlinear Analysis: Theory, Methods & Applications 64 (6), 1367-1381
R. I. Boţ, G. Wanka: Duality for multiobjective optimization problems with convex objective functions and D.C. constraints, Journal of Mathematical Analysis and Applications 315 (2), 526-543
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2005
A. Moldovan, R. I. Boţ, G. Wanka: Latent semantic indexing for patent documents, International Journal of Applied Mathematics and Computer Science 15 (4), 551-560
R. I. Boţ, G. Kassay, G. Wanka: Strong Duality for Generalized Convex Optimization Problems, Journal of Optimization Theory and Applications 127 (1), 45-70
R. I. Boţ, S.-M. Grad, G. Wanka: Duality for Optimization Problems with Entropy-Like Objective Functions, Journal of Optimization & Information Sciences 26 (2), 415-441
R. I. Boţ, G. Wanka: Farkas-Type Results With Conjugate Functions, SIAM Journal on Optimization 15 (2), 540-554
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2004
R. I. Boţ, S.-M. Grad, G. Wanka: Entropy Constrained Programs and Geometric Duality obtained via Fenchel-Lagrange Duality Approach, Nonlinear Analysis Forum 9 (1), 65-85
R. I. Boţ, G. Wanka: An Analysis of Some Dual Problems in Multiobjective Optimization (II), Optimization 53 (3), 301-324
R. I. Boţ, G. Wanka: An Analysis of Some Dual Problems in Multiobjective Optimization (I), Optimization 53 (3), 281-300
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2003
L. Altangerel, R. I. Boţ, G. Wanka: Duality for Convex Partially Separable Optimization Problems, Mongolian Mathematical Journal 7, 1-18
G. Wanka, R. I. Boţ, E. Vargyas: Duality for the Multiobjective Location Model involving Sets as Existing Facilities, in: P. M. Pardalos, I. Tseveendorj, R. Enkhbat (Eds.), "Optimization and Optimal Control", World Scientific, New Jersey, 307-333
R. I. Boţ, G. Wanka: Duality for Composed Convex Functions with Applications in Location Theory, in: W. Habenicht, B. Scheubrein, R. Scheubrein (Eds.), "Multi-Criteria- und Fuzzy-Systeme in Theorie und Praxis", Deutscher Universitäts-Verlag, Wiesbaden, 1-18
R. I. Boţ, S.-M. Grad, G. Wanka: Maximum Entropy optimization for Text Classification Problems, in: W. Habenicht, B. Scheubrein, R. Scheubein (Eds.), "Multi-Criteria- und Fuzzy-Systeme in Theorie und Praxis", Deutscher Universitäts-Verlag, Wiesbaden, 247-260
G. Wanka, R. I. Boţ, S.-M. Grad: Multiobjective Duality for Convex Semidefinite Programming Problems, Zeitschrift für Analysis und ihre Anwendungen (Journal for Analysis and its Applications) 22 (3), 711-728
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2002
Wanka, G., R. I. Boţ: Multiobjective Duality for Convex Ratios, Journal of Mathematical Analysis and Applications 275 (1), 354-368
Wanka, G., R. I. Boţ: On the Relations between Different Dual Problems in Convex Mathematical Programming, in: P. Chamoni, R. Leisten, A. Martin, J. Minnermann, H. Stadtler (Eds.), "Operations Research Proceedings 2001", Springer Verlag, Berlin, 255-262
Wanka, G., R. I. Boţ: A New Duality Approach for Multiobjective Convex Optimization Problems, Journal of Nonlinear and Convex Analysis 3 (1), 41-57
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2001
G. Wanka, R. I. Boţ: Multiobjective duality for convex-linear problems II, Mathematical Methods of Operations Research 53 (3), 419-433
G. Wanka, L. Göhler: Duality for portfolio optimization with short sales, Mathematical Methods of Operations Research 53 (2), 247-263
G. Wanka, C. Tammer (Eds.): Special issue: In celebration of Prof. Dr. Alfred Göpfert 65th birthday, Optimization 49 (1-2), pp. i-ii and 1-203
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2000
G. Wanka, R. I. Boţ: Multiobjective Duality for Convex-Linear Problems, OR Proceedings 1999, Springer Verlag, 36-40
G. Wanka: Multiobjective Control Approximation Problems: Duality and Optimality,Journal of Optimization Theory and Applications 105 (2), 457-475
G. Wanka (Ed.) : Decision Theory and Optimization in Theory and Practice, Shaker Verlag, 2000, 169p
G. Wanka, U. Krallert: Efficiency in Seminorm Location Problems, in: G. Wanka (Ed.), "Decision Theory and Optimization in Theory and Practice", Shaker Verlag, Aachen, 151-169
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1999
G. Wanka: Multiobjective duality for the Markowitz portfolio optimization problem, Control and Cybernetics 28 (4), 691-702
G. Wanka, U. Krallert: Duality for Optimal Control-Approximation Problems with Gauges, Journal for Analysis and its Applications 18 (2), 491-504
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1998
G. Wanka, A. Göpfert, Ch. Tammer: Optimality Conditions for Approximation Problems, in: T. M. Rassias (Ed.), "Nonlinear Mathematical Analysis and Applications", Hadronic Press, Palm Harbor, 59-100
G. Wanka: A new theorem of the alternative - a location approach, Location Science 6, 417-425
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1997
G. Wanka: Appoximation and adjoint inequalities, Methods of Multicriteria Decision Theory, 237-246
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1996
G. Wanka: Application of location to get theorems of alternative, Studies in Locational Analysis 9, 131-135
G. Wanka: Characterization of approximately efficient solutions to multiobjective location problems using Ekeland's variational principle, Studies in Locational Analysis 10, 163-176
G. Wanka: ε-Optimality to approximation in partially ordered spaces, Optimization 38, 1-10
G. Wanka (Ed.): Multicriteria optimization and decision theory, Proceedings from the conference held in Holzhau, March 14-18, 1994, Optimization 38 (1), pp. i-ii and 1-92
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1995
G. Wanka: Restricted vectorial location problems, Methods of Multicriteria Decision Theory, Proceedings of the 5th Workshop of the DGOR-Working Group Multicriteria Optimization and Decision Theory, Kaiserslautern 1995, 93-100
G. Wanka: ε-Optimality to multiobjective location problems, Proceedings 14th European Conference of Operations Research (EURO XIV), Jerusalem 1995, 12-13
G. Wanka, M. Schneider: Duality to the vectorial multi-facility location problem, Methods of Multicriteria Decision Theory, Proceedings of the 5th Workshop of the DGOR-Working Group Multicriteria Optimization and Decision Theory, Kaiserslautern 1995, 81-92
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1994
G. Wanka: Vektorielle Approximation in endlichdimensionalen Räumen, Proceedings Workshop "Entscheidungstheorie und Anwendungen", Schwangau, 1994, 74-77
G. Wanka: Properly efficient solutions for vectorial norm approximation, OR Spektrum 16 (4), 264-265
G. Wanka: On vectorial location, Studii şi Cercetări Ştiinţitice, Seria: Matematică, (Univ. Bacău), 4, 21-27
G. Wanka, W. Habenicht (Eds.): Decision theory, Special issue OR Spektrum 16 (4)
G. Wanka: Kolmogorov-conditions for vectorial approximation problems, OR Spektrum 16 (1), 53-58