紧超凸度量空间中的一个新的不动点定理及其对截口问题和相交问题的应用

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 112-116.

紧超凸度量空间中的一个新的不动点定理及其对截口问题和相交问题的应用

Department of Mathematics, Bijie University

收稿日期:2006-04-18 出版日期:2009-03-30 发布日期:2023-09-08
作者简介:WEN Kai-ting(1962- ), male, native of Dafang, Guizhou, a professor of Bijie University, M.S.D., engages in nonlinear analysis.
基金资助:
Supported by the Scientific Research Foundation of Bijie University(20072001)；

A New Browder Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Applications to Section Questions and Intersection Questions

Department of Mathematics, Bijie University

Received:2006-04-18 Online:2009-03-30 Published:2023-09-08
About author:WEN Kai-ting(1962- ), male, native of Dafang, Guizhou, a professor of Bijie University, M.S.D., engages in nonlinear analysis.
Supported by:
Supported by the Scientific Research Foundation of Bijie University(20072001)；

摘要/Abstract

摘要： In this paper, a new Browder fixed point theorem is established in the noncompact sub-admissible subsets of noncompact hyperconvex metric spaces. As application, a Ky Fan section theorem and an intersection theorem are obtained.

关键词: hyperconvex metric space, fixed point, sub-admissible set, noncompact measure, section, intersection

Abstract: In this paper, a new Browder fixed point theorem is established in the noncompact sub-admissible subsets of noncompact hyperconvex metric spaces. As application, a Ky Fan section theorem and an intersection theorem are obtained.

Key words: hyperconvex metric space, fixed point, sub-admissible set, noncompact measure, section, intersection

中图分类号:

O177.91

文开庭. 紧超凸度量空间中的一个新的不动点定理及其对截口问题和相交问题的应用[J]. 数学季刊, 2009, 24(1): 112-116.

WEN Kai-ting. A New Browder Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Applications to Section Questions and Intersection Questions[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 112-116.

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