%0 Journal Article
%T Coupled fixed point results in cone metric spaces for -compatible mappings
%A Aydi Hassen
%A Samet Bessem
%A Vetro Calogero
%J Fixed Point Theory and Applications
%D 2011
%I Springer
%X In this paper, we introduce the concepts of -compatible mappings, b-coupled coincidence point and b-common coupled fixed point for mappings F, G : X ¡Á X ¡ú X, where (X, d) is a cone metric space. We establish b-coupled coincidence and b-common coupled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in the literature, in particular the recent results of Abbas et al. [Appl. Math. Comput. 217, 195-202 (2010)]. Some examples are given to illustrate our obtained results. An application to the study of existence of solutions for a system of non-linear integral equations is also considered. 2010 Mathematics Subject Classifications: 54H25; 47H10.
%K -compatible mappings
%K b-coupled coincidence point
%K b-common coupled fixed point
%K cone metric space
%K integral equation""> -compatible mappings
%K b-coupled coincidence point
%K b-common coupled fixed point
%K cone metric space
%K integral equation
%U http://www.fixedpointtheoryandapplications.com/content/2011/1/27