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Collective fixed point theorem and coincidence theorems in FC-spaces

✍ Scribed by Rong-Hua He; Hong-Xu Li

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 625 KB
Volume: 225
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.07.027

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✦ Synopsis

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.

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