Published December 12, 2021 | Version v1

Fixed Point Theorem on Neutrosophic Triplet b-Metric Space

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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.

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