On an iterative scheme for approximating fixed points

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

Filomat, vol.38, no.12, pp.4045-4055, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 12
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2412045a
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4045-4055
  • Keywords: Generalized nonexpansive mapping, Nonexpansive mappings, Stability, Strong and weak convergence
  • Uşak University Affiliated: No

Abstract

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.