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.
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页码：2468 / 2480
页数：13
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