An Example of Data Dependence Result for The Class of Almost Contraction Mappings
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, cilt.17, sa.1, ss.139-155, 2020 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 1
- Basım Tarihi: 2020
- Doi Numarası: 10.22130/scma.2018.88562.464
- Dergi Adı: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Sayfa Sayıları: ss.139-155
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
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.