文献类型：会议论文

英文题名：Iterative approximation of a zero of accretive operator in Banach space

作者：Chen, Rudong[1];Liu, Yujun[3];Shen, Xilin[2]

第一作者：Chen, Rudong

通讯作者：Chen, RD[1]

机构：[1]Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China;[2]Xinxiang Univ, Dept Math, Xinxiang 453002, Henan, Peoples R China;[3]Anyang Normal Univ, Sch Math Sci, Anyang 455000, Ilenan, Peoples R China

第一机构：Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

通讯机构：[1]corresponding author), Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China.

会议论文集：5th World Congress on Nonlinear Analysts

会议日期：JUL 02-09, 2008

会议地点：Orlando, FL

语种：英文

外文关键词：Fixed point; Nonexpansive mapping; m-accretive operator; Reflexive Banach space; Weakly continuous duality mapping

摘要：This paper introduces an iteration scheme for viscosity approximation of a zero of accretive operator in a reflexive Banach space with weakly continuous duality mapping. A new iterative sequence is introduced and strong convergence of the algorithm {x(n)} is proved. The results improve and extend the results of Su [Xiaolong Qin, Yongfu Su, Approximation of a zero point of accretive operator in Banach spaces, J. Math. Anal. Appl. 320 (2007) 415-424] and some others. (C) 2008 Elsevier Ltd. All rights reserved.