On Fan's minimax inequality

Research output: Contribution to journalArticle

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Abstract

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.

Original languageEnglish
Pages (from-to)103-113
Number of pages11
JournalJournal of Mathematical Analysis and Applications
Volume201
Issue number1
DOIs
Publication statusPublished - 1996 Jul 1

Fingerprint

Minimax Inequality
Vector spaces
Coercive force
Fans
Coincidence Theorem
Coercivity
Topological Vector Space
Variational Inequalities
Existence Results
Monotonicity
Fixed point theorem
Generalization

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

On Fan's minimax inequality. / Chu, Liang-Ju.

In: Journal of Mathematical Analysis and Applications, Vol. 201, No. 1, 01.07.1996, p. 103-113.

Research output: Contribution to journalArticle

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