Two multi-cubic functional equations and some results on the stability in modular spaces

C Park, A Bodaghi - Journal of Inequalities and Applications, 2020 - Springer
In this article, we study n-variable mappings which are cubic in each variable. We also show
that such mappings can be described by an equation, say, multi-cubic functional equation …

[PDF][PDF] Hyperstability of multi-mixed additive-quadratic Jensen type mappings

S Salimi, A Bodaghi - UPB Sci. Bull., Ser. A, 2020 - scientificbulletin.upb.ro
In this article, we introduce the multi-mixed additive-quadratic Jensen type mappings and
then unify the system of functional equations defining a multi-mixed additive-quadratic …

A fixed point approach to the stability of additive-quadratic-quartic functional equations

A Bodaghi, TM Rassias… - International Journal of …, 2020 - ijnaa.semnan.ac.ir
In this article, we introduce a class of the generalized mixed additive, quadratic and quartic
functional equations and obtain their common solutions. We also investigate the stability of …

[PDF][PDF] Approximation on the mixed type additive-quadratic-sextic functional equation

S Falihi, B Shojaee, A Bodaghi… - UPB Sci. Bull …, 2019 - scientificbulletin.upb.ro
In this paper, a class of the mixed type additive-quadratic-sextic functional equations is
introduced and the common general solutions of elements of this class are obtained. An …

A characterization of multi-mixed additive-quadratic mappings and a fixed point application

S Falihi, A Bodaghi, B Shojaee - Journal of Contemporary Mathematical …, 2020 - Springer
In this paper, we introduce n-variables mappings which are mixed additive-quadratic in each
variable. We show that such mappings can be described by a equation, namely, by a multi …

A general additive functional inequality and derivation in Banach algebras

M Israr, G Lu, Y Jin, C Park - JOURNAL OF MATHEMATICAL …, 2021 - scholarworks.bwise.kr
Using the fixed point method, we prove the Hyers-Ulam stability of homomorphisms in
complex Banach algebras and complex Banach Lie algebras and also of derivations on …

Hyers–Ulam Stability of an Additive-Quadratic Functional Equation

JR Lee, C Park, TM Rassias - Approximation and Computation in Science …, 2022 - Springer
Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of Lie
biderivations and Lie bihomomorphisms in Lie Banach algebras, associated with the bi …