Abstract

The goal of this article is to provide characterizations of monotonicity and maximality via new properties of the Fitzpatrick function associated with a multi-valued operator. Several calculus rules for maximal monotone operators in non-reflexive Banach space settings are presented. In particular positive answers to Rockafellar's conjecture on the maximality of the sum and the chain rule in the linear case are given.

Author information

Contact details are reproduced from the original publication and may be historical.

Mircea D. Voisei

Dept. of Mathematics, Towson University, 7800 York Road, Towson, MD 21252, U.S.A.

mvoisei@utpa.edu

Keywords

  • Maximal monotone operator; Sum and chain rules

Mathematics Subject Classification

47H05

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Suggested citation

M. D. Voisei. “Calculus Rules for Maximal Monotone Operators in General Banach Spaces.” Journal of Convex Analysis 15 (2008), No. 1, 73–85. https://doi.org/10.68381/jca15006

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Published by Heldermann Verlag, 2008. Rights now held by Banach Press.