Jungck-Khan iterative scheme and higher convergence rate

Abdul Rahim Khan*, Faik Gürsoy, Vatan Karakaya

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

In this paper, we continue the theme of analytical and numerical treatment of Jungck-type iterative schemes. In particular, we focus on a special case of Jungck-Khan iterative scheme introduced by Khan et al. [Analytical and numerical treatment of Jungck-type iterative schemes, Appl. Math. Comput. 231 (2014) 521–535] to get an insight in the strong convergence and data dependence results obtained therein. Our investigations show that this special case under different control conditions on parametric sequences provides higher convergence rate and better data dependence estimates as compared to the Jungck-Khan iterative scheme itself.

Original languageEnglish
Pages (from-to)2092-2105
Number of pages14
JournalInternational Journal of Computer Mathematics
Volume93
Issue number12
DOIs
StatePublished - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2015 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • Jungck-Khan iterative scheme
  • convergence
  • data dependency
  • rate of convergence

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Applied Mathematics

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