On Fan's minimax inequality

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5 Citations (Scopus)

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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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