Some Sufficient Conditions for Fixed Points of Multivalued Nonexpansive Mappings

We show some sufficient conditions on a Banach space X concerning the generalized James constant, the generalized Jordan-von Neumann constant, the generalized Zbaganu constant, the coefficient [straight epsilon] 0 (X) , the weakly convergent sequence coefficient WCS(X ), and the coefficient of weak...

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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering 2009-01
Main Authors: Zuo, Zhanfei, Cui, Yunan
Format: Article
Language:English
Subjects:
Banach spaces
Computer science
Mathematical models
Studies
Online Access:Get full text
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Summary:We show some sufficient conditions on a Banach space X concerning the generalized James constant, the generalized Jordan-von Neumann constant, the generalized Zbaganu constant, the coefficient [straight epsilon] 0 (X) , the weakly convergent sequence coefficient WCS(X ), and the coefficient of weak orthogonality, which imply the existence of fixed points for multivalued nonexpansive mappings. These fixed point theorems improve some previous results in the recent papers.
ISSN:2730-5422