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Fixed Point Results in Orthogonal Neutrosophic Metric Spaces

Author

Listed:
  • Umar Ishtiaq
  • Khalil Javed
  • Fahim Uddin
  • Manuel de la Sen
  • Khalil Ahmed
  • Muhammad Usman Ali
  • Jesus M. Munoz-Pacheco

Abstract

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.

Suggested Citation

  • Umar Ishtiaq & Khalil Javed & Fahim Uddin & Manuel de la Sen & Khalil Ahmed & Muhammad Usman Ali & Jesus M. Munoz-Pacheco, 2021. "Fixed Point Results in Orthogonal Neutrosophic Metric Spaces," Complexity, Hindawi, vol. 2021, pages 1-18, August.
    • Handle: RePEc:hin:complx:2809657
    DOI: 10.1155/2021/2809657
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    Cited by:

    1. Saleem, Naeem & Ahmad, Khaleel & Ishtiaq, Umar & De la Sen, Manuel, 2023. "Multivalued neutrosophic fractals and Hutchinson-Barnsley operator in neutrosophic metric space," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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