An Example of Data Dependence Result for The Class of Almost Contraction Mappings

Atalan Y., KARAKAYA V.

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, cilt.17, sa.1, ss.139-155, 2020 (ESCI) identifier identifier

  • 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.