Mathematics and Statistics Vol. 12(4), pp. 381 - 387
DOI: 10.13189/ms.2024.120410
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Hyers-Ulam Stability of the Hexic-Quadratic-Additive Mixed-Type Functional Equation in Non-Archimedean Normed Spaces

Koushika Dhevi S , Sangeetha S ^*
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chengalpattu-603203, India

ABSTRACT

Functional equations are important and exciting concepts in mathematics. They make it possible to investigate fundamental algebraic operations and create fascinating solutions. The concept of functional equations develops further creative methods and techniques for resolving issues in information theory, finance, geometry, wireless sensor networks, and other domains. These include geometry, algebra, analysis, and so on. In recent decades, several writers in many domains have covered the study of various types of stability. Many authors have studied the stability of various functional equations in great detail, with the traditional case (Archimedean) revealing more fascinating results. Recently, researchers have used NANS to study the equivalent conclusions of stability problems from various functional equations. In this research, we examine the Hyers-Ulam stability of the hexic-quadraticadditive mixed-type functional equation where is fixed such that and in NANS and also provided some suitable counterexamples.

KEYWORDS
Hyers-Ulam Stability, Additive Mapping, Quadratic Mapping, Hexic Mapping, Non-Archimedean Normed Spaces (NANS)

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Koushika Dhevi S , Sangeetha S , "Hyers-Ulam Stability of the Hexic-Quadratic-Additive Mixed-Type Functional Equation in Non-Archimedean Normed Spaces," Mathematics and Statistics, Vol. 12, No. 4, pp. 381 - 387, 2024. DOI: 10.13189/ms.2024.120410.

(b). APA Format:
Koushika Dhevi S , Sangeetha S (2024). Hyers-Ulam Stability of the Hexic-Quadratic-Additive Mixed-Type Functional Equation in Non-Archimedean Normed Spaces. Mathematics and Statistics, 12(4), 381 - 387. DOI: 10.13189/ms.2024.120410.