Some Sufficient Conditions for Fixed Points of Multivalued Nonexpansive Mappings

We show some sufficient conditions on a Banach space concerning the generalized James constant, the generalized Jordan-von Neumann constant, the generalized Zbagănu constant, the coefficient , the weakly convergent sequence coefficient WCS( ), and the coefficient of weak orthogonality, which imply t...

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Bibliographic Details
Published inFixed point theory and applications (Hindawi Publishing Corporation) Vol. 2009; no. 1; p. 319804
Main Authors Zuo Zhanfei, Cui Yunan
Format Journal Article
LanguageEnglish
Published SpringerOpen 01.01.2009
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Summary:We show some sufficient conditions on a Banach space concerning the generalized James constant, the generalized Jordan-von Neumann constant, the generalized Zbagănu constant, the coefficient , the weakly convergent sequence coefficient WCS( ), 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:1687-1820
1687-1812