Neutrosophic Triplet m – Banach Spaces

Abstract

: Neutrosophic triplet theory has an important place in neutrosophic theory. Since the neutrosophic
triplet set (Nts), which have the feature of having multiple unit elements, have different units than the
classical unit, they have more features than the classical set. Also, Banach spaces are complete normed vector
space defined by real and complex numbers that are studied historically in functional analysis. Thus, normed
space and Banach space have an important place in functional analysis. In this article, neutrosophic triplet m -
Banach spaces (NtmBs) are firstly obtained. Then, some definitions and examples are given for NtmBs. Based
on these definitions, new theorems are given and proved. In addition, it is shown that NtmBs is different
from neutrosophic triplet Banach space (NtBs). Furthermore, it is shown that relationship between NtmBs and
NtBs. So, we added a new structure to functional analysis and neutrosophic triplet theory.