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

Kandhasamy Tamilvanan; Yahya Almalki; Syed Abdul Mohiuddine; Ravi P. Agarwal

doi:10.3390/math10111940

Mathematics (Jun 2022)

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

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

Affiliations

Kandhasamy Tamilvanan: Department of Mathematics, School of Advanced Sciences, Kalasalingam Academy of Research and Education, Srivilliputhur 626126, Tamil Nadu, India
Yahya Almalki: Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Syed Abdul Mohiuddine: Department of General Required Courses, Mathematics, Faculty of Applied Studies, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Ravi P. Agarwal: Department of Mathematics, Florida Institute of Technology, Melbourne, FL 32901, USA

DOI: https://doi.org/10.3390/math10111940
Journal volume & issue: Vol. 10, no. 11
p. 1940

Abstract

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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.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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