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

Uddin I., Garodia C., YILDIRIM İ.

Acta Mathematica Universitatis Comenianae, cilt.90, ss.195-208, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 90
  • Basım Tarihi: 2021
  • Dergi Adı: Acta Mathematica Universitatis Comenianae
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Central & Eastern European Academic Source (CEEAS), Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.195-208
  • Atatürk Üniversitesi Adresli: Evet

Özet

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.