Some convergence results for monotone nonexpansive mappings in ordered CAT(0) spaces

Uddin I., Garodia C., YILDIRIM İ.

Acta Mathematica Universitatis Comenianae, vol.90, pp.195-208, 2021 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 90
  • Publication Date: 2021
  • Journal Name: Acta Mathematica Universitatis Comenianae
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Central & Eastern European Academic Source (CEEAS), Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.195-208
  • Ataturk University Affiliated: Yes

Abstract

In this paper, we study Picard-S iteration scheme for monotone nonexpansive mappings in the setting of CAT(0) spaces. We prove Delta and strong convergence results. Further, we provide a non trivial numerical example to illustrate the convergence of our iteration scheme and its stability with respect to the different parameters and initial values.