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

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Alves, M. Marques
Svaiter, B. F.
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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.
Comment: Submitted for publication in JNA in May 7, 2008
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Mathematics - Functional Analysis, Mathematics - Optimization and Control, 47H05, 47H14, 49J52, 47N10
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