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Fixed Point Results in Orthogonal Neutrosophic Metric Spaces
Author(s) -
Umar Ishtiaq,
Khalil Javed,
Fahim Ud Din,
Manuel De la Sen,
Khalil Ahmed,
Muhammad Usman Ali
Publication year - 2021
Publication title -
complexity
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 61
eISSN - 1099-0526
pISSN - 1076-2787
DOI - 10.1155/2021/2809657
Subject(s) - generalization , mathematics , metric space , metric (unit) , set (abstract data type) , fuzzy logic , space (punctuation) , point (geometry) , fuzzy set , algebra over a field , discrete mathematics , pure mathematics , computer science , artificial intelligence , mathematical analysis , operations management , geometry , economics , programming language , operating system
Neutrosophy deals with neutrosophic logic, probability, and sets. Actually, the neutrosophic set is a generalization of the classical set, fuzzy set, and intuitionistic fuzzy set. A neutrosophic set is a mathematical notion serving issues containing inconsistent, indeterminate, and imprecise data. The notion of intuitionistic fuzzy metric space is useful in modelling some phenomena, where it is necessary to study the relationship between two probability functions. In this study, the concept of an orthogonal neutrosophic metric space is initiated. It is a generalization of the neutrosophic metric space. Some fixed point results are investigated in this setting. For the validity of the obtained results, some nontrivial examples are given.

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