TY - JOUR
AU - Abdullah Kargın,
AU - Azize Dayan,
AU - İsmet Yıldız,
AU - Adil Kılıç,
TI - Neutrosophic Triplet m – Banach Spaces
PY - 2020/12/03
Y2 - 2024/11/10
JF - Neutrosophic Sets and Systems
JA - Neutrosophic Sets Syst.
VL - 38
SE - SI#1,2024: Neutrosophical Advancements And Their Impact on Research
UR - https://fs.unm.edu/nss8/index.php/111/article/view/4196
SP - 383-398
AB - : Neutrosophic triplet theory has an important place in neutrosophic theory. Since the neutrosophictriplet set (Nts), which have the feature of having multiple unit elements, have different units than theclassical unit, they have more features than the classical set. Also, Banach spaces are complete normed vectorspace defined by real and complex numbers that are studied historically in functional analysis. Thus, normedspace 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. Basedon these definitions, new theorems are given and proved. In addition, it is shown that NtmBs is differentfrom neutrosophic triplet Banach space (NtBs). Furthermore, it is shown that relationship between NtmBs andNtBs. So, we added a new structure to functional analysis and neutrosophic triplet theory.
ER -