Some convergence results using k* iteration process in busemann spaces


Ullah K., Khan B., ÖZER Ö., Nisar Z.

Malaysian Journal of Mathematical Sciences, cilt.13, sa.2, ss.231-249, 2019 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2019
  • Dergi Adı: Malaysian Journal of Mathematical Sciences
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.231-249
  • Anahtar Kelimeler: Busemann spaces, Condition (E), K*iterative process, Strong convergence, Δ-convergence
  • Kırklareli Üniversitesi Adresli: Evet

Özet

In this paper, some strong and Δ-convergence results for mapping satisfy- ing condition (E) in the setting of uniformly convex Busemann spaces are proved. We are using newly introduced K* iteration process for approx- imation of fixed point. We also give an example to show the efficiency K* iteration process. Our results are the extension, improvement and generalization of many known results in the literature of fixed point theory in Busemann spaces.