On Fan's minimax inequality

Liang Ju Chu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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
Issue number1
Publication statusPublished - 1996 Jul 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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