Horatiu-Vasile Boncea, Sorin-Mihai Grad: Characterizations of $ arepsilon$-duality gap statements for constrained optimization problems
- Author(s):
-
Horatiu-Vasile Boncea
Sorin-Mihai Grad
- Title:
-
Horatiu-Vasile Boncea, Sorin-Mihai Grad: Characterizations of $ arepsilon$-duality gap statements for
constrained optimization problems
- Electronic source:
-
application/pdf
- Preprint series:
- Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 14, 2012
- Mathematics Subject Classification:
-
49N15 [] 90C25 [] 90C34 [] - Abstract:
- In this paper we present different regularity conditions that equivalently characterize various $\varepsilon$-duality gap statements (with $\varepsilon\geq 0$) for constrained optimization problems and their Lagrange and Fenchel-Lagrange duals in separated locally convex spaces, respectively. These regularity conditions are formulated by using epigraphs and $\varepsilon$-subdifferentials. When $\varepsilon=0$ we rediscover recent results on stable strong and total duality and zero duality gap from the literature.
- Keywords:
-
Conjugate functions,
$ arepsilon$-duality gap,
constraint qualifications,
Lagrange dual problems,
Fenchel-Lagrange dual problems
- Language:
- English
- Publication time:
- 12/2012
