APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE

Year 2012, Volume: 41 Issue: 6, 831 - 840, 01.06.2012

Changqun Wu

Abstract

APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY κ-STRICT PSEUDOCONTRACTIONS IN A BANACH SPACE

Abstract

In this paper, weak convergence theorems of a finite family of asymptotically k-strict pseudo-contractions are established in the framework of 2-uniformly smooth and uniformly convex Banach spaces.

Keywords

Asymptotically k-strict pseudo-contraction, Fixed point, Non-expansive mapping, Strictly pseudo-contractive mapping, Uniformly smooth Banach space, 2000 AMS Classification: 47 H 09

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