An extension of Mehta theorem with applications

Ying Lian Wu, Chien Hao Huang, Liang-Ju Chu

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

A remarkable fundamental theorem established by Mehta plays an important role in proving existence of fixed points, maximal elements, and equilibria in abstract economies. In this paper, we extend Himmelberg's measure of precompactness to the general setting of l.c.-spaces and obtain a generalization of Mehta's theorem. As an application, we develop some new fixed point theorems involving a kind of condensing mappings.

Original languageEnglish
Pages (from-to)489-495
Number of pages7
JournalJournal of Mathematical Analysis and Applications
Volume391
Issue number2
DOIs
Publication statusPublished - 2012 Jul 15

Fingerprint

Abstract Economy
Maximal Element
Theorem
Fixed point theorem
Fixed point
Generalization

Keywords

  • Fixed point
  • H-convex set
  • H-space
  • L.c.-space
  • Measure of precompactness
  • Q-condensing mapping
  • Uniform space

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

An extension of Mehta theorem with applications. / Wu, Ying Lian; Huang, Chien Hao; Chu, Liang-Ju.

In: Journal of Mathematical Analysis and Applications, Vol. 391, No. 2, 15.07.2012, p. 489-495.

Research output: Contribution to journalArticle

Wu, Ying Lian ; Huang, Chien Hao ; Chu, Liang-Ju. / An extension of Mehta theorem with applications. In: Journal of Mathematical Analysis and Applications. 2012 ; Vol. 391, No. 2. pp. 489-495.
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