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
