Fixed Point Results in Neutrosophic Rectangular Extended b-Metric Spaces

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Published: Sep 8, 2023
DOI: https://doi.org/10.61356/j.nswa.2023.63
Keywords:
Neutrosophic Metric Spaces, Fixed Point, Graphical View, Non-Linear Fractional Differential Equations

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Naeem Saleem
Department of Mathematics, University of Management and Technology, Lahore, Pakistan
https://orcid.org/0000-0002-1485-6163
Umar Ishtiaq
Office of research, innovation and commercialization, University of management and technology, Lahore, Pakistan
https://orcid.org/0000-0002-5228-1073
Khaleel Ahmad
Department of Math & Stats, International Islamic University Islamabad, Pakistan
https://orcid.org/0000-0002-5423-4596
Salvatore Sessa
Dipartimento di Architettura, Università Dinapoli Federico II, Via Toledo 403, 80121 Napoli, Italy
https://orcid.org/0000-0002-4303-2884
Ferdinando Di Martino
Dipartimento di Architettura, Università Dinapoli Federico II, Via Toledo 403, 80121 Napoli, Italy
https://orcid.org/0000-0001-5690-5384

Abstract


In this manuscript, we establish the notion of neutrosophic rectangular extended b-metric spaces and derive some fixed point results for contraction mappings. Also, we provide several non-trivial examples. Our results are more generalized with respect to the existing ones in the literature. At the end of the paper, we provide an application to non-linear fractional differential equations to test the validity of the results.


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How to Cite
Saleem, N., Ishtiaq, U., Ahmad, K., Sessa, S., & Di Martino, F. (2023). Fixed Point Results in Neutrosophic Rectangular Extended b-Metric Spaces. Neutrosophic Systems With Applications, 9, 48-80. https://doi.org/10.61356/j.nswa.2023.63
Issue
Vol. 9 (2023): Neutrosophic Systems with Applications
Section
Research Articles
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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Saleem, N., Ishtiaq, U., Ahmad, K., Sessa, S., & Di Martino, F. (2023). Fixed Point Results in Neutrosophic Rectangular Extended b-Metric Spaces. Neutrosophic Systems With Applications, 9, 48-80. https://doi.org/10.61356/j.nswa.2023.63
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