%0 Journal Article
%T An Example of Data Dependence Result for The Class of Almost Contraction Mappings
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Atalan, Yunus
%A Karakaya, Vatan
%D 2020
%\ 01/01/2020
%V 17
%N 1
%P 139-155
%! An Example of Data Dependence Result for The Class of Almost Contraction Mappings
%K Iteration Methods
%K Convergence analysis
%K Data dependence
%K Almost contraction mappings
%R 10.22130/scma.2018.88562.464
%X 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 methodÂ 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.
%U https://scma.maragheh.ac.ir/article_37337_8f3f54e94e5f34dc200206acb6d4acaa.pdf