On the generalized Ulam-Hyers-Rassias stability for quartic functional equation in modular spaces

Abstract

In this paper, we prove the generalized UHR stability of a quartic functional equations f(2x + y) + f(2x − y) = 4f(x + y) + 4f(x − y) + 24f(x) − 6f(y) via the extensive studies of fixed point theory. Our results are obtained in the framework of modular spaces by the modular which is l.s

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A Fixed Point Approach to the Hyers-Ulam-Rassias Stability Problem of Pexiderized Functional Equation in Modular Spaces

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