ON GENERALIZED HYERS-ULAM STABILITY RESULTS FOR QUADRATIC JENSEN FUNCTIONAL EQUATIONS IN QUASI-β-NORMED SPACES
DOI:
https://doi.org/10.5281/j3h7wy68Abstract
Using the fixed point method, we establish the generalized HyersUlam stability for the following additive-quadratic functional equation:
9f
x + y + z
3
+ f(x) + f(y) + f(z) = 4
f
x + y
2
+ f
y + z
2
+ f
z + x
2
,
where f is a mapping from a normed space to a (β, p)-Banach space. In
addition, we present several stability results for unbounded additive-quadratic
differences to demonstrate the applicability and versatility of the obtained
results.
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