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Bot, Radu Ioan; Csetnek, Ernö Robert : Weak regularity conditions for maximal monotonicity in separable Asplund spaces

Bot, Radu Ioan ; Csetnek, Ernö Robert : Weak regularity conditions for maximal monotonicity in separable Asplund spaces

Author(s):
Bot, Radu Ioan
Csetnek, Ernö Robert
Title:
Weak regularity conditions for maximal monotonicity in separable Asplund spaces
Electronic source:
application/pdf
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 3, 2008
Mathematics Subject Classification:
47H05 [ Monotone operators ]
46N10 [ Applications in optimization, convex analysis, mathematical programming, economics ]
42A50 [ Conjugate functions, conjugate series, singular integrals ]
Abstract:
In this paper we give weak regularity conditions that ensure maximal monotonicity for the operator S+A*TA, where S :X => X* and T :Y => Y* are two maximal monotone operators, A : X -> Y is a linear and continuous mapping and X,Y are separable Asplund spaces. In particular, it follows that Rockafellar's conjecture is true in these spaces.
Keywords:
maximal monotone operator, Fitzpatrick function, representative function
Language:
English
Publication time:
4 / 2008