Refinement on fixed point results in metric and b-metric spaces

Komachali A. H. A., Gaba Y. U., Aphane M., Yildirim İ.

FILOMAT, vol.37, no.22, pp.7581-7588, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 22
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2322581a
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.7581-7588
  • Keywords: Fixed point, b-metric space, Picard sequence, b-Cauchy sequence, THEOREMS
  • Ataturk University Affiliated: Yes

Abstract

In this manuscript, we introduce some conditions for a sequence to be Cauchy sequence and b-Cauchy sequence in metric spaces and b-metric spaces. After, some fixed point results are obtained regarding them in such spaces. Also, we give two examples to show the usability of our results.