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

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

2008-05-29

arxiv.org/abs/0805.4609v1

Mathematics

Functional Analysis

Submitted for publication in JNA in May 7, 2008

Scientific paper

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.

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