Stability of functional equation obtained through a fixed-point alternative in intuitionistic fuzzy normed spaces

被引：0
作者：
SA Mohiuddine
Mohammed A Alghamdi
机构：
[1] King Abdulaziz University,Department of Mathematics, Faculty of Science
来源：
Advances in Difference Equations | / 2012卷
关键词：
-norm; -conorm; additive functional equation; intuitionistic fuzzy normed space; fixed point;
D O I：
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摘要：
In this paper, we determine the stability of a generalized Hyers-Ulam-Rassias-type theorem concerning the additive functional equation 2f(x+y+z2)=f(x)+f(y)+f(z) in the framework of intuitionistic fuzzy normed spaces through the fixed-point alternative. Further, we prove some stability results of an additive functional equation in this setup through the direct method.
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