Bipolar metric spaces and some fixed point theorems

Creative Commons License

MUTLU A., Gürdal U.

Journal of Nonlinear Science and Applications, cilt.9, sa.9, ss.5362-5373, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 9
  • Basım Tarihi: 2016
  • Doi Numarası: 10.22436/jnsa.009.09.05
  • Dergi Adı: Journal of Nonlinear Science and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5362-5373
  • Anahtar Kelimeler: Bipolar metric space, Completeness, Contraction, Fixed point, Metric space
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper we introduce the concept of bipolar metric space as a type of partial distance. We explore the link between metric spaces and bipolar metric spaces, especially in the context of completeness, and prove some extensions of known fixed point theorems.