Volume no :1, Issue no: 1, April 2008

Journal of Mathematical Sciences: Advances and Applications

APPROXIMATING COMMON FIXED POINTS OF FINITE FAMILY OF NONEXPANSIVE NONSELFMAPPINGS IN A BANACH SPACE

Author's: Sornsak Thianwan
Pages: [37] - [60]
Received Date: March 12, 2008
Submitted by:

Abstract

In this paper, a new multi-step iterative scheme with errors involving a finite family of nonexpansive nonself-mappings in a Banach space is defined. Weak and strong convergence theorems of the new iterative scheme are established in a uniformly convex Banach space.

Keywords

common fixed points, nonexpansive nonself-mappings, Opial’s condition, Kadec-Klee property, condition (B).