Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2009; 46(1): 83-97

Printed January 1, 2009

Copyright © The Korean Mathematical Society.

New iterative algorithms for zeros of accretive operators

Yisheng Song

Henan Normal University

Abstract

Two new iterative algorithms are provided to find zeros of accretive operators in a Banach space $E$ with a uniformly G\^{a}teaux differentiable norm. Strong convergence for two iterations is proved and as applications, the viscosity approximation results are obtained also.

Keywords: accretive operators, iterative algorithms, strong convergence

MSC numbers: 65J15, 47J 25, 47H06