Journal of Convex Analysis 17 (2010), No. 2, 553--563
Copyright Heldermann Verlag 2010
Maximal Monotonicity, Conjugation and the Duality Product in Non-Reflexive Banach Spaces
Maicon Marques Alves
Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botânico, Rio de Janeiro, RJ 22460-320, Brazil
maicon@impa.br
Benar Fux Svaiter
Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botânico, Rio de Janeiro, RJ 22460-320, Brazil
benar@impa.br
We study some conditions which guarantee that a convex function represents a maximal monotone operator in non-reflexive Banach spaces.
Keywords: Fitzpatrick function, maximal monotone operator, non-reflexive Banach spaces.
MSC: 47H05, 49J52, 47N10
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