Hyperstability of Functional Equation Deriving from Quintic Mapping in Banach Space by Fixed Point Method

Authors

  • Subramani Karthikeyan Faculty of Science & Humanities, R.M.K. Engineering College, Kavaraipettai, Tiruvallur 601 206, Tamil Nadu, India
  • Siriluk Donganont University of Phayao
  • Choonkil Park Research Institute for Convergence of Basic Science, Hanyang University, Seoul 04763, Korea
  • Kandhasamy Tamilvanan Faculty of Science & Humanities, R.M.K. Engineering College, Kavaraipettai, Tiruvallur 601 206, Tamil Nadu, India
  • Yongqiao Wang Dalian Maritime University, Dalian 116026, P. R. China

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5757

Keywords:

quintic functional equation, hyperstability, fixed point, stability

Abstract

In this work, we examine the hyperstability of the  quintic functional equation
$\phi(u+3v)-5\phi(u+2v)-\phi(u-2v)+10\phi(u+v)+5\phi(u-v)-10\phi(u)-120\phi(v)=0$,
in Banach spaces by means of Brzd\c{e}k's fixed point theorem.

Author Biographies

  • Subramani Karthikeyan , Faculty of Science & Humanities, R.M.K. Engineering College, Kavaraipettai, Tiruvallur 601 206, Tamil Nadu, India

    Department of Mathematics

  • Siriluk Donganont, University of Phayao

    School of Science

  • Choonkil Park, Research Institute for Convergence of Basic Science, Hanyang University, Seoul 04763, Korea

    Department of Mathematics

  • Kandhasamy Tamilvanan, Faculty of Science & Humanities, R.M.K. Engineering College, Kavaraipettai, Tiruvallur 601 206, Tamil Nadu, India

    Department of Mathematics

  • Yongqiao Wang, Dalian Maritime University, Dalian 116026, P. R. China

    School of Science

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Published

2025-01-31

Issue

Vol. 18 No. 1: (January 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Subramani Karthikeyan , Siriluk Donganont, Choonkil Park, Kandhasamy Tamilvanan, Yongqiao Wang

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How to Cite

Hyperstability of Functional Equation Deriving from Quintic Mapping in Banach Space by Fixed Point Method. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5757. https://doi.org/10.29020/nybg.ejpam.v18i1.5757