Coupled common fixed point results involving (Φ,Ψ)-contractions in ordered generalized metric spaces with application to integral equations


Jain M., TAŞ K., Gupta N.

Journal of Inequalities and Applications, cilt.2013, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1029-242x-2013-372
  • Dergi Adı: Journal of Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Coupled coincidence point, Coupled common fixed point, Mixed g-monotone property, Partially ordered set
  • Uşak Üniversitesi Adresli: Hayır

Özet

We establish some coupled coincidence and coupled common fixed point theorems for the mixed g-monotone mappings satisfying (Φ,Ψ)-contractive conditions in the setting of ordered generalized metric spaces. Presented theorems extend and generalize the very recent results of Choudhury and Maity (Math. Comput. Model. 54(1-2):73-79, 2011). To illustrate our results, an example and an application to integral equations have also been given. © 2013 Jain et al.; licensee Springer.