Here we prove a probabilistic contraction mapping principle in Menger spaces. This is in line with research in fixed point theory using control functions which was initiated by Khan et al. has also been constructed.
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 δ-distance 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.… (More)