Stability of the Cubic Functional Equation in Menger Probabilistic Normed Spaces
نویسندگان
چکیده
منابع مشابه
On the stability of the Pexiderized cubic functional equation in multi-normed spaces
In this paper, we investigate the Hyers-Ulam stability of the orthogonally cubic equation and Pexiderized cubic equation [f(kx+y)+f(kx-y)=g(x+y)+g(x-y)+frac{2}{k}g(kx)-2g(x),]in multi-normed spaces by the direct method and the fixed point method. Moreover, we prove the Hyers-Ulam stability of the $2$-variables cubic equation [ f(2x+y,2z+t)+f(2x-y,2z-t) =2...
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* Correspondence: [email protected] Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Abstract In this article, we propose to determine some stability results for the functional equation of cubic in random 2-normed spaces which seems to be a quite new and interesting idea. Also, we define the notion of continuity, approximate...
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ژورنال
عنوان ژورنال: Journal of Applied Sciences
سال: 2009
ISSN: 1812-5654
DOI: 10.3923/jas.2009.1795.1797