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arXiv · 2406.16290

Some new minimax theorems for generalized convexity

Mohammed Bachir
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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.

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Mohammed Bachir. 2024-06-24. Some new minimax theorems for generalized convexity. https://arxiv.org/abs/2406.16290

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