Coupled coincidence points for compatible mappings satisfying mixed monotone property


Hemant Kumar Nashine - Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Naradha, Mandir Hasaud, Raipur-492101(Chhattisgarh), India. Bessem Samet - Département de Mathématiques, Ecole Supérieure des Sciences et Techniques de Tunis, 5, avenue Taha Hussein-Tunis, B. P.:56, Bab Menara-1008, Tunisie. Calogero Vetro - Dipartimento di Matematica e Informatica, Universita degli Studi di Palermo, via Archirafi 34, 90123 Palermo, Italy.


We establish coupled coincidence and coupled fixed point results for a pair of mappings satisfying a compatibility hypothesis in partially ordered metric spaces. An example is given to illustrate our obtained results.