Approximation of Common Fixed Point of Two Quasi-nonexpansive Mappings in Convex Metric Spaces

被引:0
作者
H. Fukhar-ud-din
A. R. Khan
机构
[1] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
[2] The Islamia University of Bahawalpur,Department of Mathematics
来源
Mediterranean Journal of Mathematics | 2018年 / 15卷
关键词
Convex metric space; quasi-nonexpansive mapping; jointly demiclosed principle; common fixed point; iterative algorithm; convergence; 47H09; 47H10;
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摘要
We use a simple iterative algorithm for two quasi-nonexpansive mappings to approximate their common fixed point through ▵\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \triangle $$\end{document}-convergence and strong convergence of the algorithm. Our results are new in the literature of metrical fixed point theory and are also valid in CAT(0) spaces.
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