Common Fixed, Coupled Coincidence and Common Coupled Fixed Point Results in Hyperbolic Valued Metric Spaces

Sager N., Săgır B.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, vol.41, 2023 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41
  • Publication Date: 2023
  • Doi Number: 10.5269/bspm.51825
  • Journal Name: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Keywords: common coupled fixed point, Common fixed point, contractive mapping, coupled coincidence point, hyperbolic valued metric space
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we obtain existence of unique common fixed point for a contraction mapping on hyperbolic valued metric spaces, and also develop some coupled coincidence point and common coupled fixed point results for two mappings satisfying various contractive conditions in such spaces. We also give some illustrative examples to validate our results.