ON ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN HYPERCONVEX METRIC SPACES

作者: M. A. Khamsi

DOI: 10.1090/S0002-9939-03-07172-7

关键词: Convex metric spaceMathematicsMetric spaceBounded functionFixed pointMetric mapFixed-point propertyDiscrete mathematicsFixed-point spaceInjective metric space

摘要: Since bounded hyperconvex metric spaces have the fixed point property for nonexpansive mappings, it is natural to extend such a powerful result asymptotically mappings. Our main states that approximate holds in this case. The proof based on use, first time, of ultrapower space.

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