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