ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

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

Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 1)

Publication Date:

Authors : ; ;

Page : 139-155

Keywords : Iteration Methods; Convergence analysis; Data dependence; Almost contraction mappings;

Source : Download Find it from : Google Scholarexternal

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.

Last modified: 2020-06-16 17:02:43