Coupled fixed point theorem in partially ordered modular metric spaces and its an application

MUTLU A., ÖZKAN K., Gürdal U.

Journal of Computational Analysis and Applications, cilt.25, sa.2, ss.207-216, 2018 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 2
  • Basım Tarihi: 2018
  • Dergi Adı: Journal of Computational Analysis and Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.207-216
  • Anahtar Kelimeler: Complete modular metric, Coupled fixed point, Modular metric space
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this article, we extend certain coupled fixed theorem which was introduced for mappings having the mixed monotone property in various metric spaces to partially ordered modular metric spaces. In addition to this, we express some results about this theorem. Finally, we show using our main theorem that there exists a unique solution for a given nonlinear integral equation.