Stabilities and instabilities of additive-quadratic 3D functional equations in paranormed spaces
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS(2023)
Abstract
This paper deals with the Ulam-Hyers stability of the following additive-quadratic mixed type functional equation: f (u + v/2 -w) + f (v + w/2 - u) + f (w + u/2 - v) = 7/8 (f(u - v) + f(v - w) + f(w - u)) - 1/8 (f(v - u) + f(w - v) + f(u - w)) in paranormed spaces by direct method.
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Key words
Ulam-Hyers stability,additive functional equation,quadratic functional equation,paranormed spaces
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