Quadratic α-functional equations

Document Type : Research Paper

Authors

1 Research nstitute for natural sciences, Hanyang University Seoul 04763, Korea

2 Department of Mathematics Hallym University Chuncheon 24252 Korea

Abstract

In this paper, we solve the quadratic α-functional equations 2f(x)+2f(y)=f(x+y)+α2f(α(xy));(0.1) where α is a fixed non-Archimedean number with α2neq3. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the quadratic α-functional equation (0.1) in non-Archimedean Banach spaces.

Keywords

Volume 8, Issue 1
July 2017
Pages 1-9
  • Receive Date: 18 December 2015
  • Revise Date: 27 January 2017
  • Accept Date: 30 January 2017