• Title/Summary/Keyword: quasi-noremd space

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

  • KIM, GWANG HUI;SHIN, HWAN-YONG
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.3
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    • pp.397-408
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    • 2015
  • 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.