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: 2020-01-01
Authors : Yunus Atalan; Vatan Karakaya;
Page : 139-155
Keywords : Iteration Methods; Convergence analysis; Data dependence; Almost contraction mappings;
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.
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Last modified: 2020-06-16 17:02:43