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http://dx.doi.org/10.7858/eamj.2014.017

THE HYERS-ULAM STABILITY OF CUBIC FUNCTRIONAL EQUATIONS IN FUZZY BANACH SPACES  

Yun, Yong Sik (Department of Mathematics and Research Institute for Basic Sciences Jeju National University)
Kim, Chang Il (Department of Mathematics Education, Dankook University)
Publication Information
East Asian mathematical journal / v.30, no.3, 2014 , pp. 271-281 More about this Journal
Abstract
In this paper, we consider the following cubic functional equation f(3x + y) + f(3x - y) = f(x + 2y) + 2f(x - y) + 2f(3x) - 3f(x) - 6f(y) and prove the generalized Hyers-Ulam stability for it in fuzzy normed spaces.
Keywords
Generalized Hyers-Ulam stability; cubic functional equation; fuzzy normed space;
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Times Cited By KSCI : 1  (Citation Analysis)
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