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

Soon-Mo Jung and Yang-Hi Lee
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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

Mathematics, 2017, vol. 5, issue 4, 1-9

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.

Keywords: Hyers–Ulam stability; mean value type functional equation; fixed point method; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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