Coupled common fixed point results involving a (φ, ψ)-contractive condition for mixed g-monotone operators in partially ordered metric spaces

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Jain M., TAŞ K., Kumar S., Gupta N.

Journal of Inequalities and Applications, cilt.2012, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2012
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1186/1029-242x-2012-285
  • Dergi Adı: Journal of Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Compatible mappings, Coupled coincidence point, Coupled common fixed point, g-mixed monotone mappings, Partially ordered set
  • Uşak Üniversitesi Adresli: Hayır

Özet

In the setting of partially ordered metric spaces, using the notion of compatible mappings, we establish the existence and uniqueness of coupled common fixed points involving a (φ, ψ)-contractive condition for mixed g-monotone operators. Our results extend and generalize the well-known results of Berinde (Nonlinear Anal. TMA 74:7347-7355, 2011; Nonlinear Anal. TMA 75:3218-3228, 2012) and weaken the contractive conditions involved in the results of Alotaibi et al. (Fixed Point Theory Appl. 2011:44, 2011), Bhaskar et al. (Nonlinear Anal. TMA 65:1379-1393, 2006), and Luong et al. (Nonlinear Anal. TMA 74:983-992, 2011). The effectiveness of the presented work is validated with the help of suitable examples. © 2012 Jain et al.; licensee Springer.