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

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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

Abstract

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

2010 MSC Number:

47H10
54H25

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

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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-013-1745-8

https://www.amm.shu.edu.cn/EN/Y2013/V34/I10/1291

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Weak KKM theorems in generalized finitely continuous space with applications

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