Coincidences of Nonself Operators by a Simpler Algorithm

Gursoy F., Khan A. R., Erturk M., KARAKAYA V.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, vol.41, no.2, pp.192-208, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.1080/01630563.2019.1620770
  • Journal Name: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Page Numbers: pp.192-208
  • Keywords: Banach space, data dependency, Jungck-Khan iterative algorithm, strong convergence, CONTRACTIVE TYPE OPERATORS, S ITERATIVE METHOD, FIXED-POINT, CONVERGENCE, STABILITY
  • Yıldız Technical University Affiliated: Yes

Abstract

In this article, we introduce a new class of contractive mappings and study analytical and computational aspects of a special case of Jungck-Khan iterative algorithm generated by this class of mappings. In particular, we improve upon strong convergence, rate of convergence and data dependence results existing in the current literature. Analytical as well numerical illustrative examples are given to support the new results.