Fixed and coincidence point theorems on partial metric spaces with an application

Rohit Kumar, Neeraj Garakoti, Naveen Chandra, Mahesh Joshi

The aim of this paper is to investigate some fixed and coincidence point theorems in complete, orbitally complete and (T, f)-orbitally complete partial metric spaces under the generalized contractive type conditions of mappings. Moreover, our results generalize and extend the several obtained results in the literature. Additionally some non-trivial examples are demonstrated, and an application has discussed to integral equations.