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zbMATH Open
Article . 2016
Data sources: zbMATH Open
Journal of Convex Analysis
Article . 2016 . Peer-reviewed
Data sources: Crossref
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Lower Limits of Type (D) Monotone Operators in General Banach Spaces

Lower limits of type (D) monotone operators in general Banach spaces
Authors: Bueno, Orestes; García, Yboon; Alves, Maicon Marques;

Lower Limits of Type (D) Monotone Operators in General Banach Spaces

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.

Keywords

lower limits, Moreau-Yosida regularization, monotone set-valued operators, variational sum, Functional Analysis (math.FA), Banach spaces, variational composition, Optimization and Control (math.OC), Optimization and Control, FOS: Mathematics, 46H05, 49J52, 46N10, Set-valued operators, Monotone operators and generalizations, Functional Analysis, Set-valued and variational analysis

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citations
The total number of citations received by all articles of the researcher of interest.
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
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