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Journal of Convex Analysis 29 (2022), No. 2, 381--390
Copyright Heldermann Verlag 2022

On Rockafellar's Sum Theorem in General Banach Spaces

Andrei Verona
Dept. of Mathematics, California State University, Los Angeles, U.S.A.

Maria E. Verona
Dept. of Mathematics, University of Southern California, Los Angeles, U.S.A.

Following some older ideas of ours and some more recent ones due to Yao, we give a self contained (except some well known results) and relatively short proof of the Rockafellar's sum theorem for the largest possible class of maximally monotone operators on a non reflexive Banach space.

Keywords: C0-maximally monotone operator, convex function, convex set, Fitzpatrick function, maximally monotone operator, monotone operator, operator of type (FPV), sum theorem.

MSC: 47H05; 49N15, 52A41, 90C25.

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