Weak KKM theorems in generalized finitely continuous space with applications

doi:10.1007/s10483-013-1745-8

Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (10): 1291-1296.doi: https://doi.org/10.1007/s10483-013-1745-8

Weak KKM theorems in generalized finitely continuous space with applications

方敏王磊

Department of Economic Mathematics, South Western University of Finance and Economics, Chengdu 610074, P. R. China

收稿日期:2012-08-28 修回日期:2013-03-13 出版日期:2013-09-29 发布日期:2013-09-29

Weak KKM theorems in generalized finitely continuous space with applications

FANG Min, WANG Lei

Department of Economic Mathematics, South Western University of Finance and Economics, Chengdu 610074, P. R. China

Received:2012-08-28 Revised:2013-03-13 Online:2013-09-29 Published:2013-09-29

摘要/Abstract

摘要： Some new weak Knaster-Kuratouski-Mazurkiewicz (KKM) theorems are proved under the noncompact situation in the generalized finitely continuous space (GFCspace) without any convexity. As applications, the minimax inequalities of the Ky Fan type are also given under some suitable conditions. The results unify and generalize some known results in recent literatures.

关键词: weak Knaster-Kuratouski-Mazurkiewicz (KKM) mapping, generalized finitely continuous space (GFC-space), minimax inequality, GFC-quasicovex

Abstract: Some new weak Knaster-Kuratouski-Mazurkiewicz (KKM) theorems are proved under the noncompact situation in the generalized finitely continuous space (GFCspace) without any convexity. As applications, the minimax inequalities of the Ky Fan type are also given under some suitable conditions. The results unify and generalize some known results in recent literatures.

Key words: non-linear, stochastic, recursive, wavelet transform, weak Knaster-Kuratouski-Mazurkiewicz (KKM) mapping, generalized finitely continuous space (GFC-space), minimax inequality, GFC-quasicovex

中图分类号:

47H10
54H25

方敏王磊. Weak KKM theorems in generalized finitely continuous space with applications[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(10): 1291-1296.

FANG Min;WANG Lei. Weak KKM theorems in generalized finitely continuous space with applications[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(10): 1291-1296.

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Weak KKM theorems in generalized finitely continuous space with applications

Weak KKM theorems in generalized finitely continuous space with applications

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