ON STABILITY OF A-QUARTIC FUNCTIONAL EQUATIONS IN RANDOM NORMED SPACES
By
Manoj Kumar¹, Anil Kumar² and Amrit³
¹,³Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak, Haryana, India-124021
²Department of Mathematics, A.I.J.H.M. College, Rohtak, Haryana, India-124001
Email: manojantil18@gmail.com, unique4140@gmail.com, amritdighlia99973@gmail.com
(Received: August 30, 2022; In format: February 14, 2023; Accepted: March 24, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53120
Abstract
In this paper, we shall prove the generalized Hyers-Ulam stability of the additive-quartic functional equation introduced by C. Muthamilarasi et al. [11] in Random Normed spaces by using direct and fixed-point methods.
2020 Mathematical Sciences Classification: 39B52; 39B82
Keywords and Phrases: Additive-Quartic functional equation; Hyers-Ulam stability; fixed point methods; Random Normed spaces.
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