@article { author = {Atalan, Yunus and Karakaya, Vatan}, title = {An Example of Data Dependence Result for The Class of Almost Contraction Mappings}, journal = {Sahand Communications in Mathematical Analysis}, volume = {17}, number = {1}, pages = {139-155}, year = {2020}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2018.88562.464}, 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.}, keywords = {Iteration Methods,Convergence analysis,Data dependence,Almost contraction mappings}, url = {https://scma.maragheh.ac.ir/article_37337.html}, eprint = {https://scma.maragheh.ac.ir/article_37337_8f3f54e94e5f34dc200206acb6d4acaa.pdf} }