Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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COCYCLE EQUATIONS VIA COCHAINS AND HYPERSTABILITY OF RELATED FUNCTIONAL EQUATIONS

  • Young Whan Lee (Department of Information Security Daejeon University)
  • Received : 2023.01.15
  • Accepted : 2023.05.02
  • Published : 2023.12.15
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Abstract

This paper presents properties of the cocycle equations via cochains on a semigroup. And then we offer hyperstability results of related functional equations using the properties of cocycle equations via cochains. These results generalize hyperstability results of a class of linear functional equation by Maksa and Páles. The obtained results can be applied to obtain hyperstability of various functional equations such as Euler-Lagrange type quadratic equations.

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References

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