Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2010; 47(6): 1259-1268

Printed November 1, 2010

https://doi.org/10.4134/BKMS.2010.47.6.1259

Copyright © The Korean Mathematical Society.

Strong convergence of an implicit iterative process for an infinite family of strict pseudocontractions

Yeol Je Cho, Shin Min Kang, and Xiaolong Qin

Gyeongsang National University, Gyeongsang National University, Hangzhou Normal University

Abstract

In this paper, we consider an implicit iterative process with errors for an infinite family of strict pseudocontractions. Strong convergence theorems are established in the framework of Banach spaces. The results presented in this paper improve and extend the recent ones announced by many others.

Keywords: implicit iterative process, strict pseudocontraction, nonexpansive mapping, common fixed point, Banach space

MSC numbers: 47H09, 47H10, 47J25