文献类型：期刊文献

英文题名：MIXED ITERATIVE ALGORITHMS FOR THE MULTIPLE-SET SPLIT EQUALITY COMMON FIXED-POINT PROBLEM OF DEMICONTRACTIVE MAPPINGS

作者：Wang, Yaqin[1];Liu, Wei[2];Song, Yanlai[3];Fang, Xiaoli[1]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[2]Shaoxing Univ, Dept Math, Yuanpei Coll, Shaoxing 312000, Peoples R China;[3]Zhongyuan Univ Technol, Coll Sci, Zhengzhou 450007, Henan, Peoples R China

年份：2018

卷号：19

期号：11

起止页码：1921

外文期刊名：JOURNAL OF NONLINEAR AND CONVEX ANALYSIS

收录：SCI-EXPANDED(收录号：WOS:000485085100011)、、Scopus(收录号：2-s2.0-85060551542)、WOS

基金：Supported by the Natural Science Foundation of China (no. 11401388,11671365), Research Program on the Reform of Teaching Methodology in Higher Education, Zhejiang Province(no. JG20160261) and Zhejiang Provincial Natural Science Foundation of China (no. LQ13A010007, LY14A010006).

语种：英文

外文关键词：multiple-set split equality common fixed-point problem; demicontractive mapping; viscosity approximation; strong convergence

外文摘要：In this paper, we consider the multiple-set split equality common fixed-point, problem governed by the general elms of demicontractive mappings. For establishing strong convergence result we introduce a new mixed cyclic and simultaneous iterative algorithm combining viscosity approximation methods with a way of selecting the stepsizes such that the implementation of the algorithm does not need any prior information about the operator norms. Our results improve and extend previously discussed related problems and algorithms.