Convergence and Completeness in L_2 (P) with respect to a Partial Metric

Metric spaces can be generalized to partial metric spaces. Partial have a unique concept related distance. In usual case, there is no distance from two same points. But, we obtain the points in It means that not absolutely zero. Using basic of spaces, find analogy between and We define d^p formed by p, with applying characteristics metric. At beginning, implement determine sequences L_2 (P). then ensure convergence completeness [a,b] established this study, conclude (P) constructing p_2 induced d^p.