Some Results of Fixed Point and Representation Theorems on Weighted Partial Metric Spaces

In this paper, we introduce the concept of weighted partial metric spaces by using the generalized weight function ω . Also, we obtain correspondence between dislocated metrics and weighted partial metrics, which extends the relations of (weak) partial metrics and (weakly) weighted quasimetrics. Moreover, we present some results of isometric embedding on weighted partial metric spaces. Finally, we establish some results on fixed point theorems for generalized contractive type mappings on weighted partial metric spaces.