Minimax theorems for convex functions
Monika Syga
TL;DR
This paper establishes conditions under which the minimax equality holds for extended-valued -convex and convex-concave functions, advancing theoretical understanding of minimax theorems.
Contribution
It provides new necessary and sufficient conditions for the minimax equality in the context of -convex and convex-concave functions, extending existing theory.
Findings
Conditions for minimax equality in -convex functions
Conditions for minimax equality in convex-concave functions
Theoretical framework for minimax theorems
Abstract
In this paper provide sufficient and necessary conditions for the minimax equality for extended-valued -convex functions. As an application we establish sufficient and necessary conditions for the minimax equality for convex-concave functions.
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Taxonomy
TopicsOptimization and Variational Analysis · Mathematical Inequalities and Applications · Advanced Optimization Algorithms Research