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

Sager N., Săgır B.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41
  • Basım Tarihi: 2023
  • Doi Numarası: 10.5269/bspm.51825
  • Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Anahtar Kelimeler: common coupled fixed point, Common fixed point, contractive mapping, coupled coincidence point, hyperbolic valued metric space
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.