On Fan's minimax inequality

Liang Ju Chu

doi:10.1006/jmaa.1996.0244

On Fan's minimax inequality

Liang Ju Chu^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We study Fan's minimax inequality min_{y ∈ c} sup_{x ∈ c} f(x, y) ≤ sup_{x ∈ c} f(x, x), under different assumptions on f and C in locally convex topological vector spaces. The main generalization is the weaking of "convex" to "acyclic." The aim of this paper is to develop as consequence of several fixed point theorems and coincidence theorems a variety of existence results relevant to minimax inequalities. As an application, some variational inequalities are deduced without monotonicity nor coercivity.

Original language	English
Pages (from-to)	103-113
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	201
Issue number	1
DOIs	https://doi.org/10.1006/jmaa.1996.0244
Publication status	Published - 1996 Jul 1

ASJC Scopus subject areas

Analysis
Applied Mathematics

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AB - We study Fan's minimax inequality miny ∈ c supx ∈ c f(x, y) ≤ supx ∈ c f(x, x), under different assumptions on f and C in locally convex topological vector spaces. The main generalization is the weaking of "convex" to "acyclic." The aim of this paper is to develop as consequence of several fixed point theorems and coincidence theorems a variety of existence results relevant to minimax inequalities. As an application, some variational inequalities are deduced without monotonicity nor coercivity.

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On Fan's minimax inequality

Abstract

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