Summary: {\it T. G. Bhaskar} and {\it V. Lakshmikantham} [Nonlinear Anal., Theory Methods Appl. 65, No. 7, A, 1379--1393 (2006;

Zbl 1106.47047)] proved the existence of a coupled fixed point for a single valued mapping under weak contractive conditions and, as an application, they proved the existence of a unique solution of a boundary value problem associated with a first order ordinary differential equation. Recently, {\it V. Lakshmikantham} and {\it Lj. Ćirić} [Nonlinear Anal., Theory Methods Appl. 70, No. 12, A, 4341--4349 (2009;

Zbl 1176.54032)] obtained a coupled coincidence and coupled common fixed point of two single valued maps. In this article, we extend these concepts to multi-valued mappings and obtain coupled coincidence points and common coupled fixed point theorems involving hybrid pair of single valued and multi-valued maps satisfying generalized contractive conditions in the frame work of a complete metric space. Two examples are presented to support our results.