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

  • H. Fukhar-ud-din
  • A. R. Khan
Article
  • 84 Downloads

Abstract

We use a simple iterative algorithm for two quasi-nonexpansive mappings to approximate their common fixed point through \( \triangle \)-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.

Keywords

Convex metric space quasi-nonexpansive mapping jointly demiclosed principle common fixed point iterative algorithm convergence 

Mathematics Subject Classification

47H09 47H10 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia
  2. 2.Department of MathematicsThe Islamia University of BahawalpurBahawalpurPakistan

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