Nonreflexive Banach SSD spaces
Stephen Simons
TL;DR
This paper unifies the theory of SSD spaces with the broader framework of strongly representable multifunctions and maximally monotone multifunctions, providing a comprehensive theoretical integration.
Contribution
It introduces a unified approach to SSD spaces and maximally monotone multifunctions, advancing the theoretical understanding of these mathematical structures.
Findings
Unified the theory of SSD spaces with strongly representable multifunctions
Clarified the equivalence among classes of maximally monotone multifunctions
Provided new insights into the structure of monotone operators
Abstract
In this paper, we unify the theory of SSD spaces, part of the theory of strongly representable multifunctions, and the theory of the equivalence of various classes of maximally monotone multifunctions.
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Taxonomy
TopicsAdvanced Banach Space Theory · Fixed Point Theorems Analysis · Optimization and Variational Analysis