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

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
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