Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2007; 44(4): 861-870

Printed December 1, 2007

Copyright © The Korean Mathematical Society.

New iterative process for the equation involving strongly accretive operators in Banach spaces

Ling-yan Zeng, Jun Li, and Jong Kyu Kim

China West Normal University, China West Normal University, Kyungnam University

Abstract

In this paper, under suitable conditions, we show that the new class of iterative process with errors introduced by Li et al converges strongly to the unique solution of the equation involving strongly accretive operators in real Banach spaces. Furthermore, we prove that it is equivalent to the classical Ishikawa iterative sequence with errors.

Keywords: convergence, iterative process, strongly accretive operators

MSC numbers: 47H05, 47H10, 49J40