文献类型：期刊文献

英文题名：The modified Ishikawa iterative algorithm with errors for a countable family of Bregman totally quasi-D-asymptotically nonexpansive mappings in reflexive Banach spaces

作者：Ni, Ren-Xing[1];Yao, Jen-Chih[2,3]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China;[2]China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan;[3]King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

年份：2015

卷号：51

期号：2

起止页码：1

外文期刊名：FIXED POINT THEORY AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000350484100001)、、WOS

基金：The research of the first author was partially supported by the National Natural Science Foundation of China (Grant No. 10971194) and Scientific Research Project of Educational Commission of Zhejiang Province of China (Grant No. Y20112300). The second author was partially supported by the Grant MOST 103-2923-E-037-001-MY3.

语种：英文

外文关键词：asymptotically Bregman totally quasi-D-asymptotically nonexpansive mapping; generalized mixed equilibrium problem; Bregman distance; Bregman projection; fixed point; shrinking projection method; Banach space

外文摘要：In this paper, a new modified Ishikawa iterative algorithm with errors by a shrinking projection method for generalized mixed equilibrium problems and a countable family of uniformly Bregman totally quasi-D-asymptotically nonexpansive mappings is introduced and investigated in the framework of a real Banach space. Strong convergence of the sequence generated by the proposed algorithm is derived under some suitable assumptions. These results are new and develop some recent results in this field.