SOME FIXED POINT RESULTS FOR A NEW THREE STEPS ITERATION PROCESS IN BANACH SPACES

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KARAKAYA V., Atalan Y., Dogan K., Bouzara N. E. H.

FIXED POINT THEORY, cilt.18, sa.2, ss.625-640, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.24193/fpt-ro.2017.2.50
  • Dergi Adı: FIXED POINT THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.625-640
  • Anahtar Kelimeler: A new iterative scheme, strong convergence, weak contraction mapping, APPROXIMATION
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a three step iteration method and show that this method can be used to approximate fixed point of weak contraction mappings. Furthermore, we prove that this iteration method is equivalent to Mann iterative scheme and converges faster than Picard-S iterative scheme for the class of weak contraction mappings. We also present tables and three graphics to support this result. Finally, we prove a data dependence result for weak contraction mappings using this three step iterative scheme.