Stability of a 2 - Variable AC - Mixed Type Functional Equation in Paranormed Spaces: Direct and Fixed Point Methods
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Keywords:
Additive functional equations, cubic functional equation, Mixed type AC functional equation, Ulam - Hyers stability, Paranormed spaceAbstract
In this paper, authors established the generalized Ulam - Hyers stability of a 2 - variable AC - mixed type functional equation \begin{align*} f(2x+y, 2z+w) &- f(2x-y, 2z-w)\\ &= 4[f(x+y, z+w) - f(x-y, z-w)]- 6f(y, w) \end{align*} in paranormed spaces using direct and fixed point methods.
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