Some Results for Compatible maps on Neutrosophic Metric Spaces

The neutrosophic theory has been effectively used to address uncertainty and ambiguity. Neutro-sophic Metric Space (NMS) was introduced by Krisci and Simsek in 2020. Following that, several kinds of compatible maps and their characteristics were investigated in the context of Intuitionistic fuzzy metric spaces and fuzzy metric spaces. In this paper, the author introduce the notion of compatible maps of type (α) and type (β) in neutrosophic metric space. For this purpose, four non-comparable mappings are used to prove the basic results. Furthermore, we prove several common fixed points results for compatible maps of type (α) and type (β) in neutrosophic metric space and provide a non-trivial examples. © (2023), (University of New Mexico). All Rights Reserved.