APPLICATIONS OF RESULTS ON ABSTRACT CONVEX SPACES TO TOPOLOGICAL ORDERED SPACES

被引：2

作者：

Kim, Hoonjoo ^{[1
]}

机构：

[1] Sehan Univ, Dept Math Educ, Chungnam 526702, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 01期

关键词：

abstract convex space; KKM map; generalized KKM; generalized gamma-quasiconvexity; maximal elements; topological semilattices with path-connected intervals; collectively fixed point; MAXIMAL ELEMENTS; FIXED-POINTS; KKM; THEOREMS; EQUILIBRIUM; EXISTENCE;

D O I：

10.4134/BKMS.2013.50.1.305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Topological semilattices with path-connected intervals are special abstract convex spaces. In this paper, we obtain generalized KKM type theorems and their analytic formulations, maximal element theorems and collectively fixed point theorems on abstract convex spaces. We also apply them to topological semilattices with path-connected intervals, and obtain generalized forms of the results of Horvath and Ciscar, Luo, and Al-Homidan et al..

引用

页码：305 / 320

页数：16

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