Limits of sequences of maximal monotone operators

Details Limits of sequences of maximal monotone operators Limits of sequences of maximal monotone operators

2011-01-28

arxiv.org/abs/1101.5574v1

Mathematics

Optimization and Control

Scientific paper

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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