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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 26Issue 3PP: 105-131 • 2025

Application of Neutrosophic Pentagonal Controlled Metric Space via Orthogonality in Traffic Flow Network Using Integral Equation

M. Rathivel 1* ,
M. Jeyaraman 2 ,
Rahul Shukla 3
1Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
2P.G. and Associate Professor, Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
3Faculty of Natural Sciences, Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa
* Corresponding Author.
Received: January 05, 2025 Revised: February 12, 2025 Accepted: March 24, 2025

Abstract

In this paper, we researched and confirmed some of the axioms of NOPCMS (Neutrosophic orthogonal pentagonal controlled metric space). We used NOPCMS to translate the Banach contraction principle in the formerly defined spaces. Several cases were numerically evaluated, and certain findings were supported, in or- der to review what we found. Furthermore, by demonstrating their existence with a unique and comprehensive solution, we deliver proof of usage and implementation.

Keywords

Fixed point Neutrosophic orthogonal Pentagonal Controlled Metric Space Integral equation

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Rathivel, M., Jeyaraman, M., Shukla, Rahul. "Application of Neutrosophic Pentagonal Controlled Metric Space via Orthogonality in Traffic Flow Network Using Integral Equation." International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 3, 2025, pp. 105-131. DOI: https://doi.org/10.54216/IJNS.260308
Rathivel, M., Jeyaraman, M., Shukla, R. (2025). Application of Neutrosophic Pentagonal Controlled Metric Space via Orthogonality in Traffic Flow Network Using Integral Equation. International Journal of Neutrosophic Science, Volume 26(Issue 3), 105-131. DOI: https://doi.org/10.54216/IJNS.260308
Rathivel, M., Jeyaraman, M., Shukla, Rahul. "Application of Neutrosophic Pentagonal Controlled Metric Space via Orthogonality in Traffic Flow Network Using Integral Equation." International Journal of Neutrosophic Science Volume 26, no. Issue 3 (2025): 105-131. DOI: https://doi.org/10.54216/IJNS.260308
Rathivel, M., Jeyaraman, M., Shukla, R. (2025) 'Application of Neutrosophic Pentagonal Controlled Metric Space via Orthogonality in Traffic Flow Network Using Integral Equation', International Journal of Neutrosophic Science, Volume 26(Issue 3), pp. 105-131. DOI: https://doi.org/10.54216/IJNS.260308
Rathivel M, Jeyaraman M, Shukla R. Application of Neutrosophic Pentagonal Controlled Metric Space via Orthogonality in Traffic Flow Network Using Integral Equation. International Journal of Neutrosophic Science. 2025;Volume 26(Issue 3):105-131. DOI: https://doi.org/10.54216/IJNS.260308
M. Rathivel, M. Jeyaraman, R. Shukla, "Application of Neutrosophic Pentagonal Controlled Metric Space via Orthogonality in Traffic Flow Network Using Integral Equation," International Journal of Neutrosophic Science, vol. Volume 26, no. Issue 3, pp. 105-131, 2025. DOI: https://doi.org/10.54216/IJNS.260308
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