Convergence and data dependence results for quasi-contractive typespacesoperators in hyperbolic

  • Faik Gursoy*
  • , Abdul Rahim Khan
  • , Hafiz Fukhar-Ud-din
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

In this paper, we simplify the iterative scheme introduced by Fukhar-ud-din and Berinde [Iterative Methods for the Class of Quasi-Contractive Type Operators and Comparison of their Rate of Convergence in Convex Metric Spaces, Filomat 30 (1), 223–230, 2016] and study convergence and data dependency of the new proposed scheme of a quasi-contractive operator on a hyperbolic space. It is shown that our results provide better convergence rate.

Original languageEnglish
Pages (from-to)391-406
Number of pages16
JournalHacettepe Journal of Mathematics and Statistics
Volume46
Issue number3
DOIs
StatePublished - 2017

Bibliographical note

Publisher Copyright:
© 2017, Hacettepe University. All rights reserved.

Keywords

  • Data dependency
  • Hyperbolic space
  • Iterative scheme
  • Rate of convergence
  • Strong convergence

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Statistics and Probability
  • Geometry and Topology

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