文献类型：期刊文献

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, R.

机构：[1] Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China; [2] Department of Mathematics, Xinxiang University, Xinxiang, Henan 453002, China; [3] School of Mathematical Sciences, Anyang Normal University, Anyang, Henan 455000, China

第一机构：Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China

通讯机构：[1]Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China

年份：2009

卷号：71

期号：12

起止页码：e346-e350

外文期刊名：Nonlinear Analysis, Theory, Methods and Applications

收录：EI(收录号：20095212574330);Scopus(收录号：2-s2.0-72149099592)

语种：英文

外文关键词：Banach spaces - 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 {xn} 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. ? 2008 Elsevier Ltd. All rights reserved.