A study of neutrosophic controlled pentagonal metric space with applications


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Authors

  • Gunaseelan Mani Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India
  • Edwin Antony Raj Michael Department of Mathematics, K. Ramakrishnan College of Engineering (Autonomous), Trichy-621112, Tamilnadu, India
  • Purushothaman Ganesh Department of Mathematics, St. Joseph’s College of Engineering, Chennai-119, Tamil Nadu, India
  • Sabri T.M. Thabet Department of Mathematics, Radfan University College, University of Lahej, Lahej, Yemen
  • Imed Kedim Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
  • Miguel Vivas-Cortez Faculty of Exact and Natural Sciences, School of Physical Sciences and Mathematics, Pontifical Catholic University of Ecuador, Av. 12 de octubre 1076 y Roca, Apartado Postal 17-01-2184, Sede Quito, Ecuador

Keywords:

Neutrosophic metric space; neutrosophic controlled pentagonal metric space; fixed point theorem; fractional differential equation

Abstract

In this manuscript, we present the concept of neutrosophic controlled pentagonal metric space (NCPMS), and prove some new fixed point results. Furthermore, we established many interesting outcomes for contraction maps. At last, we show the uniqueness and existence results for fractional differential and integral equations to illustrate the validity of the main outcomes.

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Published

2024-07-27

How to Cite

Mani, G., Michael, E. A. R., Ganesh, P., Thabet, S. T., Kedim, I., & Vivas-Cortez, M. (2024). A study of neutrosophic controlled pentagonal metric space with applications. Results in Nonlinear Analysis, 7(3), 130–162. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/411

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Vol. 7 No. 3 (2024): volume 7 issue 3

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