Abstract
We show some geometric conditions on a Banach space X concerning the generalized James constant, the generalized Jordan-von Neumann constant, the generalized Zbaganu constant and the coefficient R(1,X) , which imply the existence of fixed points for multivalued nonexpansive mappings. Our results extend and improve some recent results. Mathematics subject classification (2010): Primary 47H10, Secondary 46B20.
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