%0 Journal Article
%T 2-Banach stability results for the radical cubic functional equation related to quadratic mapping
%J Journal of Linear and Topological Algebra ( JLTA )
%I Central Tehran Branch, Islamic Azad University
%Z 2252-0201
%A Ghali, R. E.
%A Kabbaj, S.
%D 2020
%\ 03/01/2020
%V 09
%N 01
%P 35-51
%! 2-Banach stability results for the radical cubic functional equation related to quadratic mapping
%K Stability
%K hyperstability
%K 2-Banach spaces
%K radical functional equation
%R
%X The aim of this paper is to introduce and solve the generalized radical cubic functional equation related to quadratic functional equation$$fleft(sqrt[3]{ax^{3}+by^{3}}right)+fleft(sqrt[3]{ax^{3}-by^{3}}right)=2a^{2}f(x)+2b^{2}f(y),;; x,yinmathbb{R},$$for a mapping $f$ from $mathbb{R}$ into a vector space. We also investigate some stability and hyperstability results for the considered equation in 2-Banach spaces by using an analogue theorem of Brzdc{e}k in [17].
%U http://jlta.iauctb.ac.ir/article_671936_a4036e8303fca99848e2005b99b3fe79.pdf