Volume no :3, Issue no: 1, February (2010)

COMPOSITE IMPLICIT ITERATION PROCESS FOR COMMON FIXED POINTS OF A FINITE FAMILY OF ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPS

Author's: D. I. Igbokwe and Xavier Udo-Utun
Pages: [105] - [121]
Received Date: January 9, 2010
Submitted by:

Abstract

A strong convergence theorem of an averaging composite implicit iteration process to the common fixed points of a finite family of asymptotically pseudocontractive mappings is proved in real Hilbert spaces. Our results generalize and complement the results of Su and Li [10] and Osilike and Akuchu [6] in Hilbert spaces.

Keywords

modified composite implicit iteration process, asymptotically pseudocontractive maps, fixed points, Hilbert spaces.