Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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A FIXED POINT APPROACH TO STABILITY OF ADDITIVE FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES

  • Kim, Chang Il (Department of Mathematics Education Dankook University) ;
  • Park, Se Won (Department of Liberal arts and Science Shingyeong University)
  • Received : 2016.04.18
  • Accepted : 2016.07.15
  • Published : 2016.08.15
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Abstract

In this paper, we investigate the solution of the following functional inequality $$N(f(x)+f(y)+f(z),t){\geq}N(f(x+y+z),mt)$$ for some fixed real number m with $\frac{1}{3}$ < m ${\leq}$ 1 and using the fixed point method, we prove the generalized Hyers-Ulam stability for it in fuzzy Banach spaces.

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References

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