Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2006; 21(2): 237-251

Printed June 1, 2006

Copyright © The Korean Mathematical Society.

Iterative Approximations of Zeroes for Accretive Operators in Banach Spaces

Yeol Je Cho, Haiyun Zhou, Jong Kyu Kim

Gyeongsang National University, Shijiazhuang Mechanical Engineering College, Kyungnam University

Abstract

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In this paper, we introduce and study a new iterative algorithm for approximating zeroes of accretive operators in Banach spaces.

Keywords: reflexive Banach space, uniformly G\^ateuax differentiable norm, nonexpansive retract, iterative algorithm, fixed point, range condition, strong convergence, weak convergence

MSC numbers: 47H06, 47J25

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