Journal of Convex Analysis 15 (2008), No. 4, 693--706
Copyright Heldermann Verlag 2008
Brøndsted-Rockafellar Property and Maximality of Monotone Operators Representable by Convex Functions 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 are concerned with the maximality of monotone operators representable by certain convex functions in non-reflexive Banach spaces. We also prove that these maximal monotone operators satisfy a Brøndsted-Rockafellar type property.
Keywords: Convex function, maximal monotone operator, Broendsted-Rockafellar property.
MSC: 47H05, 49J52, 47N10
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