10.1007/s40096-022-00457-1

Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space

  • Buthinah A. Bin Dehaish*1,
  • Rawan K. Alharbi1,
  1. Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, 21589, SA

Published in Issue 2022-02-23

How to Cite

Bin Dehaish, B. A., & Alharbi, R. K. (2022). Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space. Mathematical Sciences, 17(4 (December 2023). https://doi.org/10.1007/s40096-022-00457-1
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Abstract

Abstract The aim of this paper is to study weak and strong convergence of two generalized α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha$$\end{document} -nonexpansive mappings to a common fixed point by using Ishikawa iteration in the setting of uniformly convex ordered Banach space. The presented results extended some recent results.

Keywords

  • Common fixed points,
  • Monotone generalized α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha$$\end{document}-nonexpansive mappings,
  • Ishikawa iteration process,
  • Uniformly convex ordered Banach space

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