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Abstract
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Abstract and Applied Analysis
Volume 2003 (2003), Issue 2, Pages 93-99
doi:10.1155/S108533750320703X

A remark on the approximate fixed-point property

Tadeusz Kuczumow

Instytut Matematyki, Uniwersytet M. Curie-Skłodowskiej(UMCS), Lublin 20-031, Poland

Abstract

We give an example of an unbounded, convex, and closed set C in the Hilbert space l2 with the following two properties: (i) C has the approximate fixed-point property for nonexpansive mappings, (ii) C is not contained in a block for every orthogonal basis in l2.