Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type
1 Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea
2 Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA
3 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
4 Université de Tunis, Ecole Supérieur des Sciences et Techniques de Tunis, 5, Avenue Taha Hussein-Tunis, B.P.:56, Bab Menara-1008, Tunisie
5 Department of Mathematics, Hashemite University, P.O. Box 150459, Zarqa 13115, Jordan
Fixed Point Theory and Applications 2012, 2012:8 doi:10.1186/1687-1812-2012-8Published: 26 January 2012
In this article, we study coupled coincidence and coupled common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition related to a pair of altering distance functions. Our results generalize and modify several comparable results in the literature.
2000 MSC: 54H25; 47H10; 54E50.