文献类型：期刊文献

英文题名：Hybrid Projection Methods for Bregman Totally Quasi-D-Asymptotically Nonexpansive Mappings

作者：Ni, Ren-Xing[1];Wen, Ching-Feng[2]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China;[2]Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 807, Taiwan

年份：2018

卷号：41

期号：2

起止页码：807

外文期刊名：BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

收录：SCI-EXPANDED(收录号：WOS:000428852200016)、、Scopus(收录号：2-s2.0-85044764062)、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 research of the second author was partially supported by the grant MOST 104-2115-M-037-001.

语种：英文

外文关键词：Bregman totally quasi-D-asymptotically nonexpansive mapping; Generalized mixed equilibrium problem; Bregman distance function; Hybrid projection method; Fixed point; Reflexive Banach space

外文摘要：In this paper, a new iterative scheme by hybrid projection method is proposed for a finite family of Bregman totally quasi-D-asymptotically nonexpansive mappings. Conditions ensuring strong convergence are imposed to common elements of set of common fixed points of the mappings and set of common solutions to a system of generalized mixed equilibrium problems in a reflexive Banach space. These results extend many important recent ones in the literature.