SSDB spaces and maximal monotonicity
Stephen Simons
TL;DR
This paper explores the theoretical framework of SSD and SSDB spaces and derives new results concerning maximally monotone multifunctions within reflexive Banach spaces.
Contribution
It advances the understanding of SSD and SSDB spaces and their application to maximal monotonicity in reflexive Banach spaces.
Findings
Development of new properties of SSD and SSDB spaces
Results on maximal monotonicity in reflexive Banach spaces
Theoretical insights into multifunctions in Banach space settings
Abstract
In this paper, we develop some of the theory of SSD spaces and SSDB spaces, and deduce some results on maximally monotone multifunctions on a reflexive Banach space.
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Taxonomy
TopicsOptimization and Variational Analysis · Fixed Point Theorems Analysis · Advanced Banach Space Theory