On Common Fixed Point for Contractive Mappings in p-Pompeiu-Hausdorff Metric Spaces

In this paper we establish the existence of a common fixed point from a pair of setvalued mappings. By utilizing the concept of convergence of set -valued mappings' sequences, both ordinary and pointwise convergence, we establish a common fixed point theorem. This our newly result is a generalization of common fixed point theorem of set -valued mappings on partial metric spaces. Further, we establish newly common fixed point theorem under phi-contraction on partial metric spaces.