On extension results for n-cyclically monotone operators in reflexive Banach spaces
Radu Ioan Bot, Erno Robert Csetnek
TL;DR
This paper investigates extension results for n-cyclically monotone operators in reflexive Banach spaces, utilizing Fenchel duality to address a question posed by Bauschke and Wang.
Contribution
It provides new extension results for n-cyclically monotone operators in reflexive Banach spaces using Fenchel duality, answering an open question.
Findings
Established positive extension results for n-cyclically monotone operators
Utilized Fenchel duality to achieve these extensions
Addressed and answered a question by Bauschke and Wang
Abstract
In this paper we provide some extension results for n-cyclically monotone operators in reflexive Banach spaces by making use of the Fenchel duality. In this way we give a positive answer to a question posed by Bauschke and Wang in [4].
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Taxonomy
TopicsOptimization and Variational Analysis · Fixed Point Theorems Analysis · Advanced Banach Space Theory