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arXiv:0805.4609 [math.FA]Abstract References Reviews Resources

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

Published 2008-05-29Version 1

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.

Comments: Submitted for publication in JNA in May 7, 2008

Categories: math.FA, math.OC

Subjects: 47H05, 47H14, 49J52, 47N10

Keywords: maximal monotone operators, non-reflexive banach spaces, surjectivity properties, perturbations, classical surjectivity result

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