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학술저널

A FIXED POINT APPROACH TO THE STABILITY OF ADDITIVE-QUADRATIC FUNCTIONAL EQUATIONS IN MODULAR SPACES

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In this paper, we prove the generalized Hyers-Ulam stability for the following additive-quadratic functional equation f (2x + y) + f (2x - y) = f (x + y) + f (x - y) + 4f (x) + 2f (-x) in modular spaces by using a fixed point theorem for modular spaces.

1. Introduction and preliminaries

2. The generalized Hyers-Ulam stability for (1.1) in modular spaces

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