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Zbl 0870.54047
Ding, Xie Ping
Coincidence theorems and equilibria of generalized games. (English)
[J] Indian J. Pure Appl. Math. 27, No.11, 1057-1071 (1996). ISSN 0019-5588; ISSN 0975-7465/e

The author introduces the notion of compact closure and compact interior for sets in topological spaces and the notion of the transfer compactly closed-valued mappings. And a new $H$-KKM type theorem is proved. As applications, some existence theorems of equilibria of generalized games and some coincidence theorems and fixed point theorems are obtained in $H$-spaces.
[Zhang Shisheng (Chengdu)]
MSC 2000:
*54H25 Fixed-point theorems in topological spaces
91A99 Game theory

Keywords: KKM theorem; equilibria of generalized games; coincidence theorems; fixed point theorems; $H$-spaces

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