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

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

Mathematics, 2022, vol. 10, issue 11, 1-17

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 .

Keywords: matrix paranormed spaces; Ulam–Hyers stability; quadratic-additive functional equation; Hyers method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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