FIXED POINT RESULTS FOR α-ψ-CONTRACTIVE MAPPINGS IN BIPOLAR METRIC SPACES

Gürdal U., Mutlu A., ÖZKAN K.

Journal of Inequalities and Special Functions, cilt.11, sa.1, ss.64-75, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2020
  • Dergi Adı: Journal of Inequalities and Special Functions
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.64-75
  • Anahtar Kelimeler: bipolar metric space, covariant and contravariant mappings, fixed point theory, α-ψ-contractive mappings
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the notion of α-ψ contractive type covariant and contravariant mappings in the bipolar metric spaces, which provides a framework to study distances between dissimilar objects. In addition this, we prove some fixed point theorems, which give existence and uniqueness of fixed point, for α-ψ contractive type covariant and contravariant mappings in complete bipolar metric spaces. On the other hand, we observe that some known fixed point theorems as Banach’s and coupled are simple consequences of our obtained results. Once and for all, we state some examples to show usability of our main results.