Remarks on Asymptotic Centers and Fixed Points | Zendy

A. Kaewkhao | Zendy; Kritsana Sokhuma | Zendy

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Remarks on Asymptotic Centers and Fixed Points

Author(s) -

A. Kaewkhao,

Kritsana Sokhuma

Publication year - 2010

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2010/247402

Subject(s) - mathematics , banach space , bounded function , sequence (biology) , fixed point , regular polygon , class (philosophy) , type (biology) , approximation property , center (category theory) , discrete mathematics , pure mathematics , combinatorics , mathematical analysis , geometry , computer science , ecology , chemistry , genetics , artificial intelligence , biology , crystallography

We introduce a class of nonlinear continuous mappings defined on a bounded closedconvex subset of a Banach space X. We characterize the Banach spaces in which everyasymptotic center of each bounded sequence in any weakly compact convex subset iscompact as those spaces having the weak fixed point property for this type of mappings

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