An extension of Mehta theorem with applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:391

Article

Wu, Ying-Lian¹  Huang, Chien-Hao¹  Chu, Liang-Ju¹ 

[1] Natl Taiwan Normal Univ, Dept Math, Taipei, Taiwan

关键词: Uniform space;    Measure of precompactness;    H-space;    H-convex set;    l.c.-space;    Q-condensing mapping;    Fixed point;   

DOI  :  10.1016/j.jmaa.2012.02.027

来源: Elsevier

【 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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free