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A Fixed Point Approach to the Stability of a Mean Value Type Functional Equation

Author

Listed:
  • Soon-Mo Jung

    (Mathematics Section, Hongik University, Sejong 30016, Korea)

  • Yang-Hi Lee

    (Department of Mathematics Education, Gongju National University of Education, Gongju 32553, Korea)

Abstract

We prove the generalized Hyers–Ulam stability of a mean value type functional equation f ( x ) − g ( y ) = ( x − y ) h ( x + y ) by applying a method originated from fixed point theory.

Suggested Citation

  • Soon-Mo Jung & Yang-Hi Lee, 2017. "A Fixed Point Approach to the Stability of a Mean Value Type Functional Equation," Mathematics, MDPI, vol. 5(4), pages 1-9, December.
    • Handle: RePEc:gam:jmathe:v:5:y:2017:i:4:p:78-:d:122840
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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, June.
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