New Fixed Point Results in Neutrosophic b-Metric Spaces With Application

Abstract

In this manuscript, we establish the notion of neutrosophic b-metric spaces as a generalization of fuzzy b-metric spaces, intuitionistic fuzzy b-metric spaces and neutrosophic metric spaces in which three symmetric properties plays an important role for membership, non-membership and neutral functions as well we derive some common fixed point and coincident point results for contraction mappings. Also, we provide several non-trivial examples with graphical views of neutrosophic b-metric spaces and contraction mappings by using computational techniques. Our results are more generalized with respect to the existing ones in the literature. At the end of the paper, we provide an application to test the validity of the main result.

On Neutrosophic Fuzzy Metric Space and Its Topological Properties

“…In 2020, Kirisci and Şimşek [27] introduced the notion of neutrosophic metric spaces. Further, several fixed-point results have been established in this generalization [28] with some generalizations of neutrosophic fuzzy metric space were introduced by researchers such as orthogonal neutrosophic metric spaces by Ishtiaq et al [29], neutrosophic 2-metric spaces by Asghar et al [30], orthogonal neutrosophic 2-metric spaces by Janardhanan et al [31], neutrosophic pentagonal metric spaces by Mani et al [32], neutrosophic b-metric space [33], etc. Further, Das et al [34] introduced the conception of neutrosophic fuzzy sets.…”