Abstract
Using the fixed point method, we prove the Hyers–Ulam stability of a cubic and quartic functional equation and of an additive and quartic functional equation in matrix Banach algebras.
Highlights
Introduction and preliminariesUlam [30] raised a question concerning the stability of group homomorphisms
This paper is organized as follows: In Sects. 2 and 3, using the fixed point method, we prove the Hyers–Ulam stability of the cubic and quartic functional equation f (2x + y) + f (2x – y) = 3f (x + y) + f (–x – y) + 3f (x – y) + f (y – x)
Using the fixed point method, we prove the Hyers–Ulam stability of the functional equation Df (x, y) = 0 in matrix Banach algebras: an even case
Summary
Introduction and preliminariesUlam [30] raised a question concerning the stability of group homomorphisms. By a similar method to the proof of Theorem 3.1, one can show that there exists a unique cubic mapping C : X → Y satisfying fn [xij] – fn –[xij] – Qn [xij]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
