a fixed point approach to the intuitionistic fuzzy stability of quintic and sextic functional equations
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abstract
the fixed point alternative methods are implemented to givehyers-ulam stability for the quintic functional equation $ f(x+3y)- 5f(x+2y) + 10 f(x+y)- 10f(x)+ 5f(x-y) - f(x-2y) = 120f(y)$ and thesextic functional equation $f(x+3y) - 6f(x+2y) + 15 f(x+y)- 20f(x)+15f(x-y) - 6f(x-2y)+f(x-3y) = 720f(y)$ in the setting ofintuitionistic fuzzy normed spaces (ifn-spaces). this methodintroduces a metrical context and shows that the stability isrelated to some fixed point of a suitable operator. furthermore, theinterdisciplinary relation among the fuzzy set theory, the theoryof intuitionistic spaces and the theory of functional equations arealso presented in the paper.
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Journal title:
iranian journal of fuzzy systemsPublisher: university of sistan and baluchestan
ISSN 1735-0654
volume 9
issue 5 2012
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