GENERALIZED HYERS-ULAM-RASSIAS STABILITY FOR A GENERAL ADDITIVE FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES

Title & Authors
GENERALIZED HYERS-ULAM-RASSIAS STABILITY FOR A GENERAL ADDITIVE FUNCTIONAL EQUATION IN QUASI-β-NORMED SPACES

Abstract
In this paper, we investigate the generalized HyersUlam-Rassias stability of the following additive functional equation $\small{2\sum_{j=1}^{n}f(\frac{x_j}{2}+\sum_{i=1,i{\neq}j}^{n}\;x_i)+\sum_{j=1}^{n}f(x_j)=2nf(\sum_{j=1}^{n}x_j)}$, in quasi-$\small{{\beta}}$-normed spaces.
Keywords
generalized Hyers-Ulam stability;contractively subadditive;expansively superadditive;quasi-$\small{{\beta}}$-normed space;($\small{{\beta}}$, p)-Banach space;
Language
English
Cited by
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