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^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

6 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	489-495
頁數	7
期刊	Journal of Mathematical Analysis and Applications
卷	391
發行號	2
DOIs	https://doi.org/10.1016/j.jmaa.2012.02.027
出版狀態	已發佈 - 2012 7月 15

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10.1016/j.jmaa.2012.02.027

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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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An extension of Mehta theorem with applications

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