Locally and weakly contractive principle in bipolar metric spaces

MUTLU A., ÖZKAN K., Gürdal U.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, cilt.10, sa.2, ss.379-388, 2020 (ESCI) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 2
  • Basım Tarihi: 2020
  • Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.379-388
  • Anahtar Kelimeler: bipolar metric space, epsilon-chainable, (epsilon, lambda)-uniformly locally contractive, weakly contractive, fixed point
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this article, we introduce concepts of (e; λ)-uniformly locally contractive and weakly contractive mappings, which are generalizations of Banach contraction mapping, in bipolar metric spaces. Also, we express the results showing the existence and uniqueness of fixed point for these mappings.