An Example of Data Dependence Result for The Class of Almost Contraction Mappings


Atalan Y., KARAKAYA V.

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, vol.17, no.1, pp.139-155, 2020 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.22130/scma.2018.88562.464
  • Title of Journal : SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS
  • Page Numbers: pp.139-155

Abstract

In the present paper, we show that S* iteration method can be used to approximate fixed point of almost contraction mappings. Furthermore, we prove that this iteration method is equivalent to CR iteration method and it produces a slow convergence rate compared to the CR iteration method for the class of almost contraction mappings. We also present table and graphic to support this result. Finally, we obtain a data dependence result for almost contraction mappings by using S* iteration method and in order to show validity of this result we give an example.