Fixed point theory and nonexpansive mappings

Abstract

Recall that a Banach space X has the weak fixed point property if for any nonempty weakly compact subset C of X and any nonexpansive mapping T : C→ C, T has at least one fixed point. In this article, we present three recent results using the ultraproduct technique. We also provide some open problems in this area.[Figure not available: see fulltext.].

Publication Title

Arabian Journal of Mathematics

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