Data dependence results of new multi-step and S-iterative schemes for contractive-like operators

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Gursoy F., KARAKAYA V., Rhoades B. E.

FIXED POINT THEORY AND APPLICATIONS, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2013
  • Doi Number: 10.1186/1687-1812-2013-76
  • Journal Name: FIXED POINT THEORY AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: new multi-step iteration, S-iteration, data dependence, contractive-like operator, FIXED-POINTS, APPROXIMATION, THEOREMS
  • Yıldız Technical University Affiliated: Yes

Abstract

In this paper, we prove that the convergence of a new iteration and S-iteration can be used to approximate the fixed points of contractive-like operators. We also prove some data dependence results for these new iteration and S-iteration schemes for contractive-like operators. Our results extend and improve some known results in the literature.