Collective fixed point theorem and coincidence theorems in FC-spaces

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摘要

In this paper, we present a KKM type theorem, some coincidence theorems in FC-spaces and a collective fixed-point theorem for a family of set-valued mappings defined on the product space of locally FC-spaces. As applications, some intersection theorems and minimax theorems are proved. Our results improve and generalize some recent results.

论文关键词：46N10,FC-space,Collective fixed point theorem,Coincidence theorem,Minimax theorem,Intersection theorem

论文评审过程：Received 4 May 2008, Revised 10 July 2008, Available online 17 July 2008.

论文官网地址：https://doi.org/10.1016/j.cam.2008.07.027