文献类型：期刊文献

英文题名：THE MULTIPLE-SET SPLIT EQUALITY COMMON FIXED POINT PROBLEMS FOR DEMICONTRACTIVE MAPPINGS WITHOUT PRIOR KNOWLEDGE OF OPERATOR NORMS

作者：Wang, Yaqin[1];Kim, Tae-Hwa[2];Chen, Rudong[3];Fang, Xiaoli[1]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[2]Pukyong Natl Univ, Coll Nat Sci, Dept Appl Math, Busan 48513, South Korea;[3]Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

年份：2017

卷号：18

期号：10

起止页码：1849

外文期刊名：JOURNAL OF NONLINEAR AND CONVEX ANALYSIS

收录：SCI-EXPANDED(收录号：WOS:000419422300008)、、WOS

基金：Supported by the Natural Science Foundation of China (no.11401388, 11671365), Zhejiang Provincial Natural Science Foundation of China (no.LQ13A010007, LY14A010006).r Corresponding author and supported by a Research Grant of Pukyong National University (2017 year).

语种：英文

外文关键词：Multiple-set split equality common fixed-point problem; demicontractive mapping; weak convergence; iterative algorithm

外文摘要：The multiple-set split equality common fixed-point problem has been investigated recently, which is a generalization of the split equality problem and the split feasibility problem. In this paper, we construct a cyclic algorithm and a parallel algorithm to solve the multiple-set split equality common fixed-point problem for demicontractive mappings without prior knowledge of operator norms in real Hilbert spaces. Some weak convergence results are established. The results obtained in this paper generalize and improve the recent ones announced by many others.