Stability Results of Mixed Type Quadratic-Additive Functional Equation in β -Banach Modules by Using Fixed-Point Technique

Kandhasamy Tamilvanan, Rubayyi T. Alqahtani and Syed Abdul Mohiuddine
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Kandhasamy Tamilvanan: Department of Mathematics, School of Advanced Sciences, Kalasalingam Academy of Research and Education, Tamil Nadu 626126, India
Rubayyi T. Alqahtani: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi Arabia
Syed Abdul Mohiuddine: Department of General Required Courses, Mathematics, Faculty of Applied Studies, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2022, vol. 10, issue 3, 1-21

Abstract: We aim to introduce the quadratic-additive functional equation (shortly, QA-functional equation) and find its general solution. Then, we study the stability of the kind of Hyers-Ulam result with a view of the aforementioned functional equation by utilizing the technique based on a fixed point in the framework of β -Banach modules. We here discuss our results for odd and even mappings as well as discuss the stability of mixed cases.

Keywords: quadratic-additive functional equation; fixed point approach; ? -Banach module; Hyers-Ulam stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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