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The Stability Analysis of A-Quartic Functional Equation

Author

Listed:
  • Chinnaappu Muthamilarasi

    (Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu 635001, India
    These authors contributed equally to this work.)

  • Shyam Sundar Santra

    (Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India
    These authors contributed equally to this work.)

  • Ganapathy Balasubramanian

    (Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu 635001, India
    These authors contributed equally to this work.)

  • Vediyappan Govindan

    (Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu 635001, India
    These authors contributed equally to this work.)

  • Rami Ahmad El-Nabulsi

    (Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Department of Physics and Materials Science, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Athens Institute for Education and Research, Mathematics and Physics Divisions, 8 Valaoritou Street, Kolonaki, 10671 Athens, Greece
    These authors contributed equally to this work.)

  • Khaled Mohamed Khedher

    (Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
    Department of Civil Engineering, High Institute of Technological Studies, Mrezgua University Campus, Nabeul 8000, Tunisia
    These authors contributed equally to this work.)

Abstract

In this paper, we study the general solution of the functional equation, which is derived from additive–quartic mappings. In addition, we establish the generalized Hyers–Ulam stability of the additive–quartic functional equation in Banach spaces by using direct and fixed point methods.

Suggested Citation

  • Chinnaappu Muthamilarasi & Shyam Sundar Santra & Ganapathy Balasubramanian & Vediyappan Govindan & Rami Ahmad El-Nabulsi & Khaled Mohamed Khedher, 2021. "The Stability Analysis of A-Quartic Functional Equation," Mathematics, MDPI, vol. 9(22), pages 1-16, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2881-:d:677918
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    References listed on IDEAS

    as
    1. Soon-Mo Jung, 2011. "Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis," Springer Optimization and Its Applications, Springer, number 978-1-4419-9637-4, September.
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