Journal of the Chungcheong Mathematical Society (충청수학회지)

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GENERALIZED HYERS-ULAM STABILITY OF CUBIC TYPE FUNCTIONAL EQUATIONS IN NORMED SPACES

  • Received : 2015.04.20
  • Accepted : 2015.06.25
  • Published : 2015.08.15
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Abstract

In this paper, we solve the Hyers-Ulam stability problem for the following cubic type functional equation $$f(rx+sy)+f(rx-sy)=rs^2f(x+y)+rs^2f(x-y)+2r(r^2-s^2)f(x)$$in quasi-Banach space and non-Archimedean space, where $r={\neq}{\pm}1,0$ and s are real numbers.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

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