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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 g (mx + ny) + g (mx -ny) + g (nx + my) + g (nx -my) where m, n ∈ Z, m is fixed such that m, n ̸ ∈ -1, 0, 1 and m + n ̸ = 0 in NANS and also provided some suitable counterexamples.
S et al. (Mon,) studied this question.