“…On the other hand, the study of metric spaces expressed the most important role to many fields both in pure and applied science such as biology, medicine, physics and computer science (see [2,[20][21][22][23][24][25][26][27][28][29][30][31][32][33] and references therein). Some generalizations of the notion of a metric space have been proposed by some authors, such as, rectangular metric spaces, semi metric spaces, pseudo metric spaces, probabilistic metric spaces, fuzzy metric spaces, quasi metric spaces, quasi semi metric spaces, D-metric spaces, cone metric spaces, and partial metric spaces (see [3,9,13,27,28,30,32]).…”