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Symmetry
Volume 16
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10.3390/sym16080965
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Some Generalized Neutrosophic Metric Spaces and Fixed Point Results with Applications

by
Mohammad Akram
1,
Umar Ishtiaq
2,*,
Khaleel Ahmad
3,
Tania A. Lazăr
4,*,
Vasile L. Lazăr
4,5 and
Liliana Guran
6,7
1
Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia
2
Department of Mathematics, Quaid-i-Azam University, Islamabad 15320, Pakistan
3
Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
4
Department of Mathematics, Technical University of Cluj Napoca, 400114 Cluj-Napoca, Romania
5
Department of Economic and Technical Sciences, Vasile Goldiș Western University of Arad, 310025 Arad, Romania
6
Department of Hospitality Services, Babeș-Bolyai University, Horea Street, no. 7, 400174 Cluj-Napoca, Romania
7
Computer Science Department, Technical University of Cluj Napoca, 400027 Cluj-Napoca, Romania
*
Authors to whom correspondence should be addressed.
Symmetry 2024, 16(8), 965; https://doi.org/10.3390/sym16080965 (registering DOI)
Submission received: 26 May 2024 / Revised: 4 July 2024 / Accepted: 12 July 2024 / Published: 29 July 2024
(This article belongs to the Section Mathematics)
Versions Notes

Abstract

This paper contains several novel definitions including neutrosophic metric space, neutrosophic quasi--metric space, neutrosophic pseudo--metric space, neutrosophic quasi--metric space and neutrosophic pseudo--metric space. Further, we present some generalized fixed point results with non-trivial examples and the decomposition theorem in the setting of the neutrosophic pseudo--metric space. Moreover, by using the main result, we examine the existence and uniqueness of the solution to an integral equation, a system of linear equations, and nonlinear fractional differential equations.
Keywords: neutrosophic metric space; neutrosophic sets; system of linear equations; existence and uniqueness neutrosophic metric space; neutrosophic sets; system of linear equations; existence and uniqueness

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MDPI and ACS Style

Akram, M.; Ishtiaq, U.; Ahmad, K.; Lazăr, T.A.; Lazăr, V.L.; Guran, L. Some Generalized Neutrosophic Metric Spaces and Fixed Point Results with Applications. Symmetry 2024, 16, 965. https://doi.org/10.3390/sym16080965

AMA Style

Akram M, Ishtiaq U, Ahmad K, Lazăr TA, Lazăr VL, Guran L. Some Generalized Neutrosophic Metric Spaces and Fixed Point Results with Applications. Symmetry. 2024; 16(8):965. https://doi.org/10.3390/sym16080965

Chicago/Turabian Style

Akram, Mohammad, Umar Ishtiaq, Khaleel Ahmad, Tania A. Lazăr, Vasile L. Lazăr, and Liliana Guran. 2024. "Some Generalized Neutrosophic Metric Spaces and Fixed Point Results with Applications" Symmetry 16, no. 8: 965. https://doi.org/10.3390/sym16080965

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