Difference convergence on partial metric space

The concept of partial metric space is a minimal generalization of a metric space (X, d), where for each x ∈ X, d(x, x) does not need to be zero, in other terms is known as non-self distance. In this conference paper we defined some new definitions on partial metric space using by first difference of a sequence (xk) in partial metric space and examined some properties of these definitions..