Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2005; 20(1): 71-78

Printed March 1, 2005

Copyright © The Korean Mathematical Society.

Ishikawa Iterative Sequence with Errors for $\varphi$-Strongly Accretive Operators

Yongjin Li

Sun Yat-sen University

Abstract

In this paper, the iterative solution is studied for equation Tx = f with a uniformly continuous $\varphi$-strongly accretive operators in arbitrary real Banach spaces. Our results extend, generalize and improve the corresponding results obtained by Zeng [11].

Keywords: $\varphi$-strongly accretive operator, Ishikawa iterative sequences with errors, duality mapping, Banach space

MSC numbers: 47H17, 47H10