Applications of Banach Limit in Ulam Stability-Reference-Cited by-同舟云学术

Applications of Banach Limit in Ulam Stability

Published:2021-05-10 Issue:5 Volume:13 Page:841
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Badora Roman^ORCID,Brzdęk Janusz^ORCID,Ciepliński Krzysztof^ORCID

Abstract

We show how to get new results on Ulam stability of some functional equations using the Banach limit. We do this with the examples of the linear functional equation in single variable and the Cauchy equation.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/13/5/841/pdf

Reference63 articles.

1. Stability of Functional Equations in Several Variables;Hyers,1998

2. Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis;Jung,2011

3. Ulam Stability of Operators;Brzdęk,2018

4. Théorie des Opérations Linéaires;Banach,1932

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation;Fractal and Fractional;2024-01-12

2. On Ulam Stability of the Inhomogeneous Version of the General Linear Functional Equation;Results in Mathematics;2023-02-25

3. Classical and Fixed Point Approach to the Stability Analysis of a Bilateral Symmetric Additive Functional Equation in Fuzzy and Random Normed Spaces;Mathematics;2023-01-29

4. HYPERSTABILITY RESULTS FOR GENERALIZED QUADRATIC FUNCTIONAL EQUATIONS IN <inline-formula><tex-math id="M1">$(2,\alpha)$</tex-math></inline-formula>-BANACH SPACES;Journal of Applied Analysis & Computation;2023

5. Intuitionistic Fuzzy Stability of an Euler–Lagrange Symmetry Additive Functional Equation via Direct and Fixed Point Technique (FPT);Symmetry;2022-11-19