@article {
author = {Ghali, R. E. and Kabbaj, S.},
title = {2-Banach stability results for the radical cubic functional equation related to quadratic mapping},
journal = {Journal of Linear and Topological Algebra ( JLTA )},
volume = {09},
number = {01},
pages = {35-51},
year = {2020},
publisher = {Central Tehran Branch, Islamic Azad University},
issn = {2252-0201},
eissn = {2345-5934},
doi = {},
abstract = {The aim of this paper is to introduce and solve the generalized radical cubic functional equation related to quadratic functional equation$$f\left(\sqrt[3]{ax^{3}+by^{3}}\right)+f\left(\sqrt[3]{ax^{3}-by^{3}}\right)=2a^{2}f(x)+2b^{2}f(y),\;\; x,y\in\mathbb{R},$$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 Brzd\c{e}k in [17].},
keywords = {Stability,hyperstability,2-Banach spaces,radical functional equation},
url = {http://jlta.iauctb.ac.ir/article_671936.html},
eprint = {http://jlta.iauctb.ac.ir/article_671936_a4036e8303fca99848e2005b99b3fe79.pdf}
}