文献类型：期刊文献

英文题名：Hybrid iterative algorithm for an infinite families of closed, uniformly asymptotic regular and uniformly Bregman totally quasi-D-asymptotically nonexpansive mappings in Banach spaces

作者：Ni, Renxing[1]

机构：[1]Shaoxing Univ, Dept Math, Zhejiang 312000, Peoples R China

年份：2016

卷号：9

期号：6

起止页码：4924

外文期刊名：JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000386871300127)、、WOS

基金：The research was partially supported by the National Natural Science Foundation of China (Grant No. 11671365).

语种：英文

外文关键词：Hybrid Bregman projection method; Bregman totally quasi-D-asymptotically nonexpansive mapping; variational inequality problem; generalized mixed equilibrium problem; uniformly smooth Banach space; 2-uniformly convex Banach space

外文摘要：A new hybrid Bregman projection method is considered for finding common solutions of the set of common fixed points of an infinite family of closed, uniformly asymptotic regular and uniformly Bregman totally quasi-D-asymptotically nonexpansive mappings, the set of solutions to a variational inequality problem and the set of common solutions to a system of generalized mixed equilibrium problems, strong convergence theorems of common elements are proved by using new analysis techniques and Bregman mappings in the setting of uniformly smooth and 2-uniformly convex real Banach spaces. Our results improve and generalize many important known recent results in the current literature, because Bregman projection mapping generalizes the generalized projection mapping and the metric projection mapping. (C) 2016 All rights reserved.