On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space

kadioglu n.

Manas Journal of Engineering, cilt.11, sa.2, ss.223-228, 2023 (Hakemli Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.51354/mjen.1361003
  • Dergi Adı: Manas Journal of Engineering
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.223-228
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the definition of a new class of generalized nonexpansive mappings in hyperbolic space. Additionally, we construct the rewritten version of the Mann iteration process in hyperbolic space. Then, using the iterative procedure we established, we prove convergence theorems for 𝑎−𝑏−generalized nonexpansive mappings in a uniformly convex hyperbolic space. Lastly, we offer a numerical example to illustrate our findings.