Fixed point theorems on increasing functions in complete partial metric spaces (CPMS)

Abstract

In 1992, the concept of partial metric spaces (PMS) \(p\) was introduced by Matthews [7]. In fact Partial Metric Spaces is the generalization of usual metric spaces. One of the interesting properties of PMS is that \(p(x,x)\) is not zero for all \(x\in X\), where \(X\) is the set of non negative reals. Every partial metric \(p\) on non-empty set generates a \(T_0\) topology \(\tau_0\) on \(X\). In this paper, we obtained CPMS version of some fixed point theorems on complete metric spaces and compact metric spaces given by T. Zamfirescu [9] and D. S. Jaggi [5].