An Example of Data Dependence Result for The Class of Almost Contraction Mappings
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, vol.17, no.1, pp.139-155, 2020 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 17 Issue: 1
- Publication Date: 2020
- Doi Number: 10.22130/scma.2018.88562.464
- Journal Name: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Page Numbers: pp.139-155
- Yıldız Technical University Affiliated: Yes
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.