On the surjectivity properties of perturbations of maximal monotone operators in non-reflexive Banach spaces

Abstract

We are concerned with surjectivity of perturbations of maximal monotone operators in non-reflexive Banach spaces. While in a reflexive setting, a classical surjectivity result due to Rockafellar gives a necessary and sufficient condition to maximal monotonicity, in a non-reflexive space we characterize maximality using a ``enlarged'' version of the duality mapping, introduced previously by Gossez.

Submitted for publication in JNA in May 7, 2008

References in corpus (3)

• Maximal monotonicity, conjugation and the duality product
• A new old class of maximal monotone operators
• Strongly-Representable Operators