Fixed Point Theorem on Neutrosophic Triplet b-Metric Space

The notion of neutrosophic triplet, in the form of (p, np, ap) is a recent subject of neutrosophy, where np is the neutral of the element p and ap is the opposite of p. In this paper, neutrosophic triplet b-metric spaces are investigated. Then some new definitions and examples are given for neutroso...

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Bibliographic Details
Published in:Neutrosophic Sets and Systems
Main Author: Sibel Demiralp
Format: Article
Language:English
Published: University of New Mexico 2021-12-01
Subjects:
Online Access:http://fs.unm.edu/NSS/FixedPointTheorem25.pdf
Description
Summary:The notion of neutrosophic triplet, in the form of (p, np, ap) is a recent subject of neutrosophy, where np is the neutral of the element p and ap is the opposite of p. In this paper, neutrosophic triplet b-metric spaces are investigated. Then some new definitions and examples are given for neutrosophic triplet b-metric space. Based on these definitions, new theorems are given and proven. A neutrosophic triplet topology induced by neutrosophic triplet b-metric is obtained. Furthermore, a contraction map is defined for neutrosophic triplet b-metric space, and finally, a fixed point theorem is given for it.
ISSN:2331-6055
2331-608X