Title : ( Quadratic Functional Equation On Orthogonality Vector Spaces )
Authors: Sayed Khalil Ekrami , Madjid Mirzavaziri ,
Full TextAbstract
Let (X,⊥) be a real vector space of dimension at least 3, with the orthogonality defined on it by:(i) for all x ∈ X, x ⊥ 0 and 0 ⊥ x,(ii) for all x, y ∈ X \ {0}, x ⊥ y if and only if x, y are linearly independent.We show that any orthogonally quadratic mapping on X is a quadratic mapping. Also we prove the Hyers-Ulam stability of orthogonally quadratic functional equation and the Hyers-Ulam stability of orthogonally pexiderized quadratic functional equation.
Keywords
, quadratic functional equation, orthogonality space, stability
@article{paperid:1062456,
author = {Sayed Khalil Ekrami and Madjid Mirzavaziri, },
title = {Quadratic Functional Equation On Orthogonality Vector Spaces},
journal = {International Journal of Pure and Applied Mathematics},
year = {2016},
volume = {107},
number = {2},
month = {April},
issn = {1311-8080},
pages = {381--391},
numpages = {10},
keywords = {quadratic functional equation; orthogonality space; stability},
}
%0 Journal Article
%T Quadratic Functional Equation On Orthogonality Vector Spaces
%A Sayed Khalil Ekrami
%A Madjid Mirzavaziri,
%J International Journal of Pure and Applied Mathematics
%@ 1311-8080
%D 2016
