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In this article, our aim is to find some stability results for mixed type cubic and quartic functional equations in fuzzy modular spaces using the fundamental results of fixed-point theory. The fixed point method provides one of the effective techniques that can be used to investigate the fuzzy stability of a mixed type cubic and quartic functional equations. [ABSTRACT FROM AUTHOR]

This manuscript introduces a novel three-variable cubic functional equation and derives its general solution. Employing both the direct and fixed-point methods, we investigate the orthogonal stability of this equation within the frameworks of quasi- β -Banach spaces and multi-Banach spaces. Additionally, the study explores the stability of the equation in various extended Banach spaces and provides a specific example illustrating the absence of stability in certain cases. [ABSTRACT FROM AUTHOR]

The objective of this study to examine some stability results concerning the iterative type functional equations like Gamma, Schröder functional equations and also generalize the stability results of quintic and sextic functional equations (QF Equations and SF Equations) in complete Menger φ-normed spaces. [ABSTRACT FROM AUTHOR]

Using the direct approach, the authors find the Ulam stability of the septic functional equation and octic functional equation in Felbin’s type non-Archimedean fuzzy normed space. [ABSTRACT FROM AUTHOR]