Ćirić contraction with graphical structure of bipolar metric spaces and related fixed point theorems

Creative Commons License

Younis M., MUTLU A., Ahmad H.

Hacettepe Journal of Mathematics and Statistics, cilt.53, sa.6, ss.1588-1606, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 6
  • Basım Tarihi: 2024
  • Doi Numarası: 10.15672/hujms.1302743
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.1588-1606
  • Anahtar Kelimeler: bipolar metric space, & Cacute;iri & cacute; contraction, fixed point, graph
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

We present the novel concept of graphical bipolar metric-type space in this article, which combines the notions of graph theory with fixed point theory. We prove that every bipolar metric space is a graphical bipolar metric space but the converse is not true in general. Various concepts like covariant mapping, contravariant mapping, and Cauchy bisequence are also discussed within the context of graphical bipolar metric-type spaces. Furthermore, in this study, we show that fixed point results exist in graphical structures of bipolar metric spaces and a series of examples are provided to support the main results within the realm of the graph structure.