Title of article :
Stability of Pexiderized quadratic functional equation on a set of measure zero
Author/Authors :
EL-Fassi ، Iz-iddine - University of Ibn Tofail , Chahbi ، Abdellatif - University of Ibn Tofail , Kabbaj ، Samir - University of Ibn Tofail , Park ، Choonkil - Hanyang University
Abstract :
Let R be the set of real numbers and Y a Banach space. We prove the Hyers-Ulam stability theorem when f, h : R → Y satisfy the following Pexider quadratic inequality { Mathematical Formulas } in a set Ω ⊂ R² of Lebesgue measure m(Ω) = 0.
Keywords :
Pexider quadratic functional equation , Hyers , Ulam stability , first category Lebesgue measure , Baire category theorem
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
