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Continuous Selection, Collectively Fixed Points and System of Coincidence Theorems in Product Topological Spaces

โœ Scribed by Xie Ping Ding

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
186 KB
Volume
22
Category
Article
ISSN
1439-7617

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Collective fixed points and a system of
Collective fixed points and a system of coincidence theorems in product -spaces and applications
โœ Xie Ping Ding ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 237 KB

By using a continuous selection theorem, some new collective fixed point theorems and coincidence theorems for the families of set-valued mappings defined on the product space of noncompact FC-spaces are proved under very weak assumptions. As applications, some nonempty intersection theorems, inclus

Collective fixed point theorem and coinc
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โœ Rong-Hua He; Hong-Xu Li ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 625 KB

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