非紧超凸空间的Browder不动点定理及其应用

journal6 ›› 2004, Vol. 25 ›› Issue (3): 68-71.

非紧超凸空间的Browder不动点定理及其应用

（毕节师范高等专科学校数学系，贵州毕节551700）

出版日期:2004-09-15 发布日期:2012-09-22
作者简介:文开庭（1962-），男，贵州省大方人，毕节师范高等专科学校数学系副教授，主要从事非线性分析研究.

Browder Fixed Point Theorem in Noncompact Spaces and Their Applications

(Department of Mathematics,Bijie Teachers college,Bijie 551700,Guizhou)

Online:2004-09-15 Published:2012-09-22

摘要/Abstract

摘要：在非紧超凸度量空间中的非紧允许集上，改进并推广了Browder 不动点定理，讨论了Ky Fan极大极小不等式.在应用中，给出了2个新的非合作n-人对策的Nash平衡存在定理.

关键词： 超凸度量空间, Browder不动点定理, 允许集, 非紧性测度, Ky , Fan极大极小不等式, Nash平衡

Abstract: In the noncompact admissible subsets of noncompact hyperconvex metric spaces,Browder fixed point theorem is improved and generalized and Ky Fan minimax inequality is studied.As to application,two new existence theorems of Nash equilibrium of the non-cooperative n-person game are given.

Key words: hyperconvex metric space, Browder fixed point theorem, admissible set, noncompact measure, Ky Fan minimax inequality, Nash equilibrium

文开庭. 非紧超凸空间的Browder不动点定理及其应用[J]. journal6, 2004, 25(3): 68-71.

WEN Kai-Ting. Browder Fixed Point Theorem in Noncompact Spaces and Their Applications[J]. journal6, 2004, 25(3): 68-71.