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.
averona10@yahoo.com
Maria E. Verona
Dept. of Mathematics, University of Southern California, Los Angeles, U.S.A.
verona@usc.edu
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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