Ulam stability of functional equations in 2-Banach spaces via the fixed point method

K Ciepliński - Journal of Fixed Point Theory and Applications, 2021 - Springer
Using the fixed point method, we prove the Ulam stability of two general functional equations
in several variables in 2-Banach spaces. As corollaries from our main results, some …

Stability of a General Functional Equation in m-Banach Spaces

K Ciepliński - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
In this note, the Ulam stability of a general functional equation in several variables is
investigated. It is shown that this equation is Ulam stable in m-Banach spaces. Since a …

Approximation of two general functional equations in 2-Banach spaces

C Park, A Najati, MB Moghimi… - Journal of Mathematical …, 2023 - scholarworks.bwise.kr
In this paper, we study the Ulam stability and hyperstability of two general functional
equations in several variables in 2-Banach spaces. Multi-additive and multi-Jensen …

Set valued pexiderized quadratic functional equation

E Mohammadi, A Najati, K Nikodem - Aequationes mathematicae, 2024 - Springer
Consider a real vector space denoted as X, and let cc (Y) represent the collection of all
convex and compact subsets of a real Hausdorff topological vector space Y. This paper …

On the Generalized Hyers–Ulam Stability of a Functional Equation and Its Consequences

K Ciepliński - Results in Mathematics, 2021 - Springer
On the Generalized Hyers–Ulam Stability of a Functional Equation and Its Consequences |
Results in Mathematics Skip to main content SpringerLink Account Menu Find a journal Publish …

New characterizations of the set-valued solutions for a class of functional equations with involutions

I EL-Fassi, K Nikodem - Acta Mathematica Hungarica, 2022 - Springer
New characterizations of the set-valued solutions for a class of functional equations with
involutions Page 1 Acta Math. Hungar. DOI: 0 NEW CHARACTERIZATIONS OF THE SETVALUED …

Set-valued solutions of a two-variable functional equation with involutions

I EL-Fassi, K Nikodem, D Popa - Aequationes mathematicae, 2022 - Springer
In this work, we give some characterizations or representations of set-valued solutions
defined on a commutative monoid (M,+)(M,+) with values in a Hausdorff topological vector …

Set-valued solutions of a functional equation

K Ciepliński - Boletín de la Sociedad Matemática Mexicana, 2022 - Springer
In this note, we deal with set-valued solutions of a functional equation which is a
generalization of an equation, introduced very recently by I. Hwang and C. Park, connected …