Lower limits of type (D) monotone operators in general banach spaces

Research output: Working paper

Abstract

We give, for general Banach spaces, a characterization of the sequential lower
limit of maximal monotone operators of type (D) and prove its representability. As
a consequence, using a recent extension of the Moreau-Yosida regularization for
type (D) operators, we extend to general Banach spaces the definitions of the variational sum of monotone operators and the variational composition of monotone operators with continuous linear mappings, and we prove that both operators are representable.
Original languageEnglish
Number of pages12
StatePublished - 14 Apr 2015

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