Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces-Reference-Cited by-同舟云学术

Stability Results of Quadratic-Additive Functional Equation Based on Hyers Technique in Matrix Paranormed Spaces

Published:2022-06-06 Issue:11 Volume:10 Page:1940
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Tamilvanan Kandhasamy^ORCID,Almalki Yahya^ORCID,Mohiuddine Syed Abdul^ORCID,Agarwal Ravi P.^ORCID

Abstract

In this work, we introduce a mixed type of quadratic-additive (QA) functional equation and obtain its general solution. The objective of this work is to investigate the Ulam–Hyers stability of this quadratic-additive (QA) functional equation in matrix paranormed spaces (briefly, MP spaces) using the Hyers method for the factor sum of norms.

Funder

King Khalid University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/10/11/1940/pdf

Reference14 articles.

1. A Collection of Mathematical Problems, Interscience Tracts in Pure and Applied Mathematics;Ulam,1960

2. On the Stability of the Linear Functional Equation

3. Ulam stability problem for a mixed type of cubic and additive functional equation

4. Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces

5. Stability of a mixed additive and cubic functional equation in quasi-Banach spaces

Cited by 1 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. Fuzzy stability in the sense of Hyers-Ulam-Rassias of a functional equation on quadratic forms;Journal of Interdisciplinary Mathematics;2023