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http://dx.doi.org/10.4134/CKMS.2012.27.3.523

FUZZY STABILITY OF THE CAUCHY ADDITIVE AND QUADRATIC TYPE FUNCTIONAL EQUATION  

Jin, Sun-Sook (Department of Mathematics Education Gongju National University of Education)
Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.3, 2012 , pp. 523-535 More about this Journal
Abstract
In this paper, we investigate a fuzzy version of stability for the functional equation $$2f(x+y)+f(x-y)+f(y-x)-3f(x)-f(-x)-3f(y)-f(-y)=0$$ in the sense of M. Mirmostafaee and M. S. Moslehian.
Keywords
fuzzy normed space; fuzzy almost quadratic-additive mapping; Cauchy additive and quadratic type functional equation;
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