Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs

被引:0
作者
Phikul Sridarat
Raweerote Suparaturatorn
Suthep Suantai
Yeol Je Cho
机构
[1] Chiang Mai University,PhD Degree Program in Mathematics, Faculty of Science
[2] Chiang Mai University,Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science
[3] University of Electronic Science and Technology of China,School of Mathematical Sciences
[4] Gyeongsang National University,Department of Mathematics Education
来源
Bulletin of the Malaysian Mathematical Sciences Society | 2019年 / 42卷
关键词
SP-iteration; Common fixed point theorem; G-nonexpansive mapping; Directed graph; 47H09; 47H10;
D O I
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中图分类号
学科分类号
摘要
In this paper, we prove weak and strong convergence theorems of SP-iteration for common fixed point of three G-nonexpansive mappings in uniformly convex Banach spaces endowed with a directed graph under some suitable control conditions. We also give some numerical examples for confirming our main theorem and compare convergence rate between SP-iteration and Noor iteration.
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页码:2361 / 2380
页数:19
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