Regular Maximal Monotone Multifunctions and Enlargements
Andrei Verona, Maria Elena Verona
TL;DR
This paper explores properties of regular maximal monotone multifunctions in Banach spaces, providing new characterizations and insights into their enlargements and domain descriptions.
Contribution
It introduces novel characterizations of regular maximal monotone multifunctions using recent sum theorem results in Banach spaces.
Findings
New characterizations of regular maximal monotone multifunctions
Descriptions of the domain of certain enlargements
Enhanced understanding of sum theorem applications in this context
Abstract
In this note we use recent results concerning the sum theorem for maximal monotone multifunctions in general Banach spaces to find new characterizations and properties of regular maximal monotone multifunctions and then use these to describe the domain of certain enlargements.
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Taxonomy
TopicsOptimization and Variational Analysis · Fixed Point Theorems Analysis · Advanced Banach Space Theory