The τ-fixed point property for nonexpansive mappings

Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point property (τ-FPP) if every nonexpansive mapping T defined from a bounded convex τ-sequentially compact subset C of X into C has a fixed point. When τ satisfies certain regularity conditions, we show that normal structu...

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Bibliographic Details
Main Authors: Tomás Domínguez Benavides, jesús García Falset, Maria A. Japón Pineda
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337598000591