Random Normed Stability of General Quartic Functional Equation


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Authors

  • Shalini Tomar Department of Mathematics, Kanya Mahavidyalaya Kharkhoda, Sonipat, Haryana, India
  • Deepali Khurana Department of Mathematics, Hans Raj Mahila Maha Vidyalaya, Jalandhar, Punjab, India

Keywords:

Generalised Hyers-Ulam-Rassias (HUR) Stability, Random Normed Space, Quartic Functional Equation

Abstract

The goal of this paper is to study the Generalized Hyers-Ulam-Rassias (HUR) stability of quartic functional equation (Q.F.E.)
\begin{align*}
f_q(kr_1+(k-1)r_2)&+f_q(kr_1-(k-1)r_2)= 2k^4f_q(r_1)+ 2(k-1)^4f_q(r_2)\\
&+6k^2(k-1)^2[f_q(r_1+r_2) + f_q(r_1-r_2)]-12k^2(k-1)^2[f_q(r_1)+f_q(r_2)]\end{align*} in Random Normed Spaces (RN-Spaces) using direct method.

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Published

04-07-2025

How to Cite

Shalini Tomar, & Deepali Khurana. (2025). Random Normed Stability of General Quartic Functional Equation. International Journal of Mathematics And Its Applications, 13(2), 141–149. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1558

Issue

Vol. 13 No. 2 (2025)

Section

Research Article

License

Copyright (c) 2025 International Journal of Mathematics And its Applications

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