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학술저널

STABILITY OF QUARTIC SET-VALUED FUNCTIONAL EQUATIONS

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We will show the general solution of the functional equation f (x + ay) + f (x - ay) + 2(a 2 - 1)f (x) = a2 f (x + y) + a2 f (x - y) + 2a 2 (a2 - 1)f (y) and investigate the Hyers-Ulam stability of the quartic set-valued functional equation.

1. Introduction

2. A quartic functional equation

3. Stability of the quartic set-valued functional equation

4. Stability of quartic set-valued functional equation by the fixed point method

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