Mathematics (Dec 2017)

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

  • Soon-Mo Jung,
  • Yang-Hi Lee

DOI
https://doi.org/10.3390/math5040078
Journal volume & issue
Vol. 5, no. 4
p. 78

Abstract

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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.

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