Fixed point theory of multimaps in abstract convex uniform spaces

被引：12

作者：

Park, Sehie ^{[1
,2
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[2] Natl Acad Sci, Seoul 137044, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 7-8期

关键词：

Abstract convex space; KKM space; G-convex space; Multimap (map) classes U-C(K); B; K; KC; KD; Almost fixed point; COINCIDENCE THEOREMS; MULTIFUNCTIONS; VERSIONS; MAPPINGS;

D O I：

10.1016/j.na.2009.01.081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is to establish fixed point theorems for multimaps in abstract convex uniform spaces. Our new results generalize corresponding ones in topological vector spaces (t.v.s.), convex spaces due to Lassonde, C-spaces due to Horvath, and G-convex spaces due to Park. We show that fixed point theorems on multimaps of the Fan-Browder type, multimaps having ranges of the Zima-Hadzic type, and multimaps whose ranges are phi-sets or Klee approximable sets can be established in abstract convex spaces or KKM spaces. (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2468 / 2480

页数：13

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