Far East Journal of Mathematical Sciences (FJMS)

The Far East Journal of Mathematical Sciences (FJMS) publishes original research papers and survey articles in pure and applied mathematics, statistics, mathematical physics, and other related fields. It welcomes application-oriented work as well.

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$\varphi$-FIXED POINT RESULTS IN METRIC SPACES WITH AN APPLICATION

Authors

  • Rajagopalan Rmaswamy
  • Penumarthy Parvateesam Murthy
  • Pushplata Sahu
  • Rayan Abdulrahman Alkhowaiter
  • Hossam A. Nabway
  • Gunaseelan Mani

Keywords:

metric space, $\varphi$-fixed $\left(\mathcal{F}^{\#}, \varphi\right)$-contraction, differential equation

DOI:

https://doi.org/10.17654/0972087125013

Abstract

In this article, we present $\varphi$-fixed point results using $\left(\mathcal{F}^{\#}, \varphi\right)$ contraction in metric spaces, thereby deriving several corollaries from established results. We provide appropriate non-trivial examples to substantiate the derived results, which have been verified through program codes and graphically explained. Additionally, these results have been applied to find analytical solutions to boundary value problems.

Received: April 2, 2025
Accepted: April 24, 2025

References

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M. Jleli, B. Samet and C. Vetro, Fixed point theory in partial metric spaces via -fixed point’s concept in metric spaces, J. Inequal. Appl. 2014(1) (2014), 1-9.

N. Fabiano, Z. Kadelburg, N. Mirkov, V. S. Cavi and S. Radenovic, On F-contractions: a survey, Contemp. Math. 3(3) (2022), 327.

H. N. Saleh, M. Imdad and W. M. Alfaqih, Some metrical -fixed point results of Wardowski type with applications to integral equations, Bol. Soc. Parana. Mat. (3) 40 (2022), 1-11.

Published

2025-05-02

Issue

Section

Articles

How to Cite

$\varphi$-FIXED POINT RESULTS IN METRIC SPACES WITH AN APPLICATION. (2025). Far East Journal of Mathematical Sciences (FJMS), 142(2), 211-235. https://doi.org/10.17654/0972087125013

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