Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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A FIXED POINT APPROACH TO THE STABILITY OF QUINTIC MAPPINGS IN QUASI β-NORMED SPACES

  • Koh, Heejeong (Department of Mathematical Education Dankook University)
  • Received : 2013.07.15
  • Accepted : 2013.09.27
  • Published : 2013.11.15
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Abstract

We investigate the general solution of the following functional equation and the generalized Hyers-Ulam-Rassias stability problem in quasi ${\beta}$-normed spaces and then the stability by using alternative fixed point method for the following quintic function $f:X{\rightarrow}Y$ such that f(3x+y)+f(3x-y)+5[f(x+y)+f(x-y)]=4[f(2x+y)+f(2x-y)]+2f(3x)-246f(x), for all $x,y{\in}X$.

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References

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