Titlebook: Stability of Some Advanced Functional Equations in Various Spaces; Hemen Dutta,Vediyappan Govindan,R. Vadivel Book 2023 The Editor(s) (if

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-Dimensional Additive Functional Equations in Random 2-Normed Spaces,The chapter derives an .–dimensional additive functional equation, investigates general solution of this .–dimensional additive functional equation, and stability results in random 2-normed spaces by using direct and fixed-point methods.

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Quadratic Functional Equations in Banach Algebras,When the general solution of a functional equation is known without any regularity assumptions, it is possible to obtain the Hyers-Ulam-type stability result. The chapter investigates the Hyers-Ulam stability of a quadratic functional equation in Banach algebras by using direct and fixed point methods in the even case.

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Additive-Quadratic Functional Equations in Banach Algebras,The chapter discusses the Hyers-Ulam stability of mixed additive-quadratic functional equations in Banach algebras by using the direct method and the fixed-point method.

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