Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2001; 38(3): 611-622

Printed September 1, 2001

Copyright © The Korean Mathematical Society.

Iteration processes of asymptotically pseudo-contractive mappings in Banach spaces

Jong Yeoul Park and Jae Ug Jeong

Pusan National University, Dong-Eui University

Abstract

Some convergence theorems of modified Ishikawa and Mann
iteration processes with errors for asymptotically
pseudo-contractive and asymptotically nonexpansive mappings in
Banach spaces are obtained. The results presented in this paper
improve and extend the corresponding results in Liu [7] and Schu [10].

Keywords: asymptotically nonexpansive mapping, asymptotically pseudo-contractive mapping, modified Ishikawa iteration processes