Article

Lipschitz stability of the k-quadratic functional equation

Published in: Quaestiones Mathematicae
Volume 40 , issue 8 , 2017 , pages: 991–1001

DOI: 10.2989/16073606.2017.1339742

Author(s): Abdellatif Chahbi Department of Mathematics, Faculty of Sciences, Morocco , Iz-iddine EL-Fassi Department of Mathematics, Faculty of Sciences, Morocco , Samir Kabbaj Department of Mathematics, Faculty of Sciences, Morocco

Keywords: Primary 39B82 , 39B52 , Primary 39B82 , 39B52

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Abstract

Let ℕ be the set of all positive integers, G an Abelian group with a metric d and E a normed space. For any f : G → E we define the k-quadratic difference of the function f by the formula

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