ANALYTICAL AND NUMERICAL ASPECT OF COINCIDENCE POINT PROBLEM OF QUASI-CONTRACTIVE OPERATORS


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

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, vol.105, no.119, pp.101-121, 2019 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 105 Issue: 119
  • Publication Date: 2019
  • Doi Number: 10.2298/pim1919101g
  • Title of Journal : PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD
  • Page Numbers: pp.101-121

Abstract

We propose a new Jungck-S iteration method for a class of quasi-contractive operators on a convex metric space and study its strong convergence, rate of convergence and stability. We also provide conditions under which convergence of this method is equivalent to Jungck-Ishikawa iteration method. Some numerical examples are provided to validate the theoretical findings obtained herein. Our results are refinement and extension of the corresponding ones existing in the current literature.