Some new minimax theorems for generalized convexity
Functional Analysis
2024-11-18 v3
Abstract
The aim of this article is to establish new two-functions minimax inequalities extending classical results such as Simons' minimax theorem. Our results will be proved in a non-compact setting. We also prove, under general conditions, that the one-function minimax equality is in fact equivalent to the well known Simons inequality. Some applications will be given.
Keywords
Cite
@article{arxiv.2406.16290,
title = {Some new minimax theorems for generalized convexity},
author = {Mohammed Bachir},
journal= {arXiv preprint arXiv:2406.16290},
year = {2024}
}