The fixed point property in banach spaces whose characteristic of uniform convexity is less than 2

Author:

Falset J. García

Abstract

AbstractWe prove that every Banach space X with characteristic of uniform convexity less than 2 has the fixed point property whenever X satisfies a certain orthogonality condition.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference8 articles.

1. Existence of fixed points of nonexpansive mappings in a space without normal structure

2. A geometric property of Banach spaces related to the fixed point property;Falset;J. Math. Anal. Appl.

3. A fixed point free nonexpansive map

4. Nonexpansive mapping on Banach lattices and related topics;Borwein;Houston J. Math.,1984

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