Some New Structures in Neutrosophic Metric Spaces

Abstract

Neutrosophic sets deals with inconsistent, indeterminate and imprecise datas. The concept
of Neutrosophic Metric Space (NMS) uses the idea of continuous t- norm and continuous t - conorm
in intuitionistic fuzzy metric spaces. In this paper, we introduce the definition of subcompatible
maps of types (J-1 and J-2). We extend the structure of weak non-Archimedian with the help of
subcompatible maps of types (J-1 and J-2) in NMS. Finally, we obtain common fixed point theorems
for four subcompatible maps of type (J-1) in weak non-Archimedean NMS.