STRONG CONVERGENCE OF ANITERATIVE METHOD FOR CONTINUOUS PSEUDOCONTRACTIVE MAPPINGS

Yisheng Song (P. R. China)

Received August 29, 2006

Abstract

Let K be a closed convex subset of a real Banach space E. Then is continuous pseudocontractive mapping. We propose the following modified implicit iterations process in a reflexive Banach space with uniformly Gâteaux differentiable norm: for any fixed such that and show that strongly converges to a fixed point of T.

Keywords and phrases: pseudocontractive mapping, modified implicit iterations, strong convergence.