文献类型：期刊文献

英文题名：Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces

作者：Wang, Yaqin[1,2];Chen, Rudong[3]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[2]Sichuan Univ, Math Coll, Chengdu 610064, Sichuan, Peoples R China;[3]Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

年份：2011

卷号：2011

起止页码：1

外文期刊名：FIXED POINT THEORY AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000300903100001)、、Scopus(收录号：2-s2.0-84902463987)、WOS

基金：The first author was supported by the Research Project of Shaoxing University(No. 09LG1002), and the second author was supported partly by NSFC Grants(No. 11071279).

语种：英文

外文关键词：hybrid method; accretive operator; variational inequality; pseudocontraction

外文摘要：We use strongly pseudocontractions to regularize a class of accretive variational inequalities in Banach spaces, where the accretive operators are complements of pseudocontractions and the solutions are sought in the set of fixed points of another pseudocontraction. In this paper, we consider an implicit scheme that can be used to find a solution of a class of accretive variational inequalities. Our results improve and generalize some recent results of Yao et al. (Fixed Point Theory Appl, doi:10.1155/2011/180534, 2011) and Lu et al. (Nonlinear Anal, 71(3-4), 1032-1041, 2009).