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We introduce the notion of multi-β-normed space (0<β≤1) and study the stability of the alternative additive functional equation of two forms in this type of space

journal of function spaces

On the Stability of Alternative Additive Equations in Multi-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>β</mml:mi></mml:mrow></mml:math>-Normed Spaces

On the Stability of Alternative Additive Equations in Multi-β-Normed Spaces