Coincidence point results of multivalued weak C-contractions on metric spaces with a partial order

In this paper we obtain some coincidence point results of a family of multivalued mappings with a singlevalued mapping in a complete metric space endowed with a partial order. We use δdistance in this paper. A generalized weak C-contraction inequality for multivalued functions and δ-compatibility for certain pairs of functions are assumed in the theorems. The corresponding singled valued cases are shown to extend a number of existing results. An example is constructed which shows that the extensions are actual improvements.