Ideal convergence in partial metric spaces

The aim of this paper was to develop the summability literature by introducing the concept of I_p-convergence in the partial metric space (X, p). First, we give some properties of I_p-convergence. Also, we introduce the concept of I*_p-convergence in the partial metric space (X, p) and examine relations between newly defined concepts. Then, we present the concepts of I_p-Cauchy and I*_p-Cauchy sequence in the partial metric space (X, p) and investigate relations between these Cauchy sequences.