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

Author

Listed:
  • Kandhasamy Tamilvanan

    (Department of Mathematics, School of Advanced Sciences, Kalasalingam Academy of Research and Education, Tamil Nadu 626126, India
    These authors contributed equally to this work.)

  • Rubayyi T. Alqahtani

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11566, Saudi Arabia
    These authors contributed equally to this work.)

  • Syed Abdul Mohiuddine

    (Department of General Required Courses, Mathematics, Faculty of Applied Studies, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Kandhasamy Tamilvanan & Rubayyi T. Alqahtani & Syed Abdul Mohiuddine, 2022. "Stability Results of Mixed Type Quadratic-Additive Functional Equation in β -Banach Modules by Using Fixed-Point Technique," Mathematics, MDPI, vol. 10(3), pages 1-21, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:493-:d:741496
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