An extension of Mehta theorem with applications

Ying Lian Wu; Chien Hao Huang; Liang Ju Chu

doi:10.1016/j.jmaa.2012.02.027

An extension of Mehta theorem with applications

Ying Lian Wu, Chien Hao Huang, Liang Ju Chu^*

^*Corresponding author for this work

Department of Mathematics

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

6 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 language	English
Pages (from-to)	489-495
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	391
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2012.02.027
Publication status	Published - 2012 Jul 15

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

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10.1016/j.jmaa.2012.02.027

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keywords = "Fixed point, H-convex set, H-space, L.c.-space, Measure of precompactness, Q-condensing mapping, Uniform space",

author = "Wu, {Ying Lian} and Huang, {Chien Hao} and Chu, {Liang Ju}",

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AU - Wu, Ying Lian

AU - Huang, Chien Hao

AU - Chu, Liang Ju

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AB - 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.

KW - Fixed point

KW - H-convex set

KW - H-space

KW - L.c.-space

KW - Measure of precompactness

KW - Q-condensing mapping

KW - Uniform space

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SP - 489

EP - 495

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

An extension of Mehta theorem with applications

Abstract

Keywords

ASJC Scopus subject areas

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