On an iterative scheme for approximating fixed points

Ali Q., Hussain A., George R., Hassan S., Adeel M., Mitrović Z. D.

Filomat, cilt.38, sa.12, ss.4045-4055, 2024 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 12
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2412045a
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4045-4055
  • Anahtar Kelimeler: Generalized nonexpansive mapping, Nonexpansive mappings, Stability, Strong and weak convergence
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce a new three-steps iteration scheme for approximation of the fixed points for the nonexpansive mappings. We discuss the stability of the introduced scheme. Also, we obtain some results on weak and strong convergence for generalized nonexpansive mappings of Suzuki.