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CONTINUOUS SELECTION THEOREMS FOR FAN-BROWDER MAPPINGS IN TOPOLOGICAL SPACES AND THEIR APPLICATIONS
引用本文:杨明歌,邓磊. CONTINUOUS SELECTION THEOREMS FOR FAN-BROWDER MAPPINGS IN TOPOLOGICAL SPACES AND THEIR APPLICATIONS[J]. 应用数学和力学(英文版), 2006, 27(4): 493-500. DOI: 10.1007/s 10483-006-0409-z
作者姓名:杨明歌  邓磊
作者单位:School of Mathematics and Finance Southwest University Chongqing 400715,P. R. China,School of Mathematics and Finance Southwest University,Chongqing 400715,P. R. China
基金项目:同济大学校科研和教改项目
摘    要:The concept of Fan-Browder mappings was first introduced in topological spaces without any convex structure. Then a new continuous selection theorem was obtained for the Fan-Browder mapping with range in a topological space without any convex structure and noncompact domain. As applications, some fixed point theorems, coincidence theorems and a nonempty intersection theorem were given. Both the new concepts and results unify and extend many known results in recent literature.

关 键 词:连续选择定理 Fan-Browder映射 混合点 相合点
收稿时间:2004-09-09
修稿时间:2005-12-16

Continuous selection theorems for Fan-Browder mappings in topological spaces and their applications
Ming-ge Yang,Professor Lei Deng. Continuous selection theorems for Fan-Browder mappings in topological spaces and their applications[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(4): 493-500. DOI: 10.1007/s 10483-006-0409-z
Authors:Ming-ge Yang  Professor Lei Deng
Affiliation:School of Mathematics and Finance, Southwest University, Chongqing 400715, P. R. China
Abstract:The concept of Fan-Browder mappings was first introduced in topological spaces without any convex structure. Then a new continuous selection theorem was obtained for the Fan-Browder mapping with range in a topological space without any convex structure and noncompact domain. As applications, some fixed point theorems, coincidence theorems and a nonempty intersection theorem were given. Both the new concepts and results unify and extend many known results in recent literature.
Keywords:Fan-Browder mapping  continuous selection  fixed point  coincidence point
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