Limits of sequences of maximal monotone operators

2011/01/28 by García, Yboon, Lassonde, Marc
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1101.5574

Abstract

We show that the lower limit of a sequence of maximal monotone operators on a reflexive Banach space is a representable monotone operator. As a consequence, we obtain that the variational sum of maximal monotone operators and the variational composition of a maximal monotone operator with a linear continuous operator are both representable monotone operators.

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