Data dependence results of new multi-step and S-iterative schemes for contractive-like operators

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Gursoy F., KARAKAYA V., Rhoades B. E.

FIXED POINT THEORY AND APPLICATIONS, 2013 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1687-1812-2013-76
  • Dergi Adı: FIXED POINT THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: new multi-step iteration, S-iteration, data dependence, contractive-like operator, FIXED-POINTS, APPROXIMATION, THEOREMS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we prove that the convergence of a new iteration and S-iteration can be used to approximate the fixed points of contractive-like operators. We also prove some data dependence results for these new iteration and S-iteration schemes for contractive-like operators. Our results extend and improve some known results in the literature.