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http://dx.doi.org/10.14403/jcms.2011.24.2.2

GENERALIZED ULAM-HYERS STABILITY OF C*-TERNARY ALGEBRA 3-HOMOMORPHISMS FOR A FUNCTIONAL EQUATION  

Bae, Jae-Hyeong (Graduate School of Education, Kyung Hee University)
Park, Won-Gil (Department of Mathematics Education, Mokwon University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.24, no.2, 2011 , pp. 147-162 More about this Journal
Abstract
In this paper, we investigate the Ulam-Hyers stability of $C^{\star}$-ternary algebra 3-homomorphisms for the functional equation $$f(x_1+x_2,y_1+y_2,z_1+z_2)=\;\displaystyle\sum_{1{\leq}i,j,k{\leq}2}\;f(x_i,y_j,z_k)$$ in $C^{\star}$-ternary algebras.
Keywords
3-additive mapping; $C^{\star}$-ternary algebra;
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