Neutrosophic Partial Metric Spaces and Fixed Point Theorems

In this paper, neutrosophic partial metric spaces are defined, and their basic properties and examples are obtained. Furthermore, the relations between neutrosophic partial metric spaces, classical metric spaces, fuzzy partial metric spaces, and fuzzy are analyzed. As a result of this investigation, it is shown that from each classical metric, classical partial metric, and neutrosophic metric, a neutrosophic partial metric can be obtained. Moreover, it is achieved that a neutrosophic metric is also a neutrosophic partial metric space. Thus, a new structure is given by transferring the partial metric structure to neutrosophic metric spaces. In addition, a fixed point theorem for neutrosophic partial metric spaces is given.