Almost contraction mappings in cone b-metric spaces over banach algebras

Creative Commons License

Develi F., Özavşar M.

Hacettepe Journal of Mathematics and Statistics, vol.49, no.6, pp.1965-1973, 2020 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 6
  • Publication Date: 2020
  • Doi Number: 10.15672/hujms.486939
  • Journal Name: Hacettepe Journal of Mathematics and Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1965-1973
  • Keywords: cone b-metric spaces over Banach algebras, spectral radius, common fixed point, FIXED-POINT THEOREMS
  • Yıldız Technical University Affiliated: Yes

Abstract

We introduce the condition of being Cauchy for a sequence in cone b-metric spaces (cbms) over Banach algebras. Based on this result, we extend almost mappings in cone metric spaces over Banach algebras to cbms over Banach algebras and prove the related fixed point theorem. In addition, we apply our results to some applications to illustrate their usability.