Bot, Radu Ioan ; Grad, Sorin Mihai ; Wanka, Gert : Weaker constraint qualifications in maximal monotonicity

Author(s):

Bot, Radu Ioan
Grad, Sorin Mihai
Wanka, Gert

Title:

Weaker constraint qualifications in maximal monotonicity

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 14, 2005

Mathematics Subject Classification:

47H05			[ Monotone operators ]
46N10			[ Applications in optimization, convex analysis, mathematical programming, economics ]
42A50			[ Conjugate functions, conjugate series, singular integrals ]

Abstract:

We give a sufficient condition, weaker than the others known so far, that guarantees that the sum of two maximal monotone operators on a reflexive Banach space is maximal monotone. Then we give a weak constraint qualification assuring the Brezis-Haraux-type approximation of the range of the sum of the subdifferentials of two proper convex lower-semicontinuous functions in non-reflexive Banach spaces, extending and correcting an earlier result due to Riahi.

Keywords:

maximal monotone operator, Fitzpatrick function, subdifferential, Brezis-Haraux-type approximation

Language:

English

Publication time:

9 / 2005