Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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A FIXED POINT APPROACH TO THE STABILITY OF A GENERAL QUINTIC FUNCTIONAL EQUATION

  • Yang-Hi Lee (Department of Mathematics Education, Gongju National University of Education) ;
  • Soon-Mo Jung (Mathematics Section, College of Science and Technology, Hongik University)
  • Received : 2022.11.02
  • Accepted : 2023.02.22
  • Published : 2023.09.15
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Abstract

In this paper, we prove the generalized Hyers-Ulam stability of a general quintic functional equation, $\sum\limits_{k=0}^{6}(-1)^k{_6}C_kf(x+(3-k)y)=0$, by using the fixed point method.

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Acknowledgement

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2020R1F1A1A01049560).

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