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http://dx.doi.org/10.14317/jami.2015.435

APPROXIMATELY QUINTIC MAPPINGS IN NON-ARCHIMEDEAN 2-NORMED SPACES BY FIXED POINT THEOREM  

KIM, CHANG IL (Department of Mathematics Education, Dankook University)
JUNG, KAP HUN (Department of Mathematics Education, Dankook University)
Publication Information
Journal of applied mathematics & informatics / v.33, no.3_4, 2015 , pp. 435-445 More about this Journal
Abstract
In this paper, using the fixed point method, we investigate the generalized Hyers-Ulam stability of the system of quintic functional equation $f(x_1+x_2,y)+f(x_1-x_2,y)=2f(x_1,y)+2f(x_2,y)\;f(x,2_{y1}+y_2)+f(x,2_{y1}-y_2)=f(x,y_1-2_{y2})+f(x,y_1+y_2)\;-f(x,y_1-y_2)+15f(x,y_1)+6f(x,y_2)$ in non-Archimedean 2-Banach spaces.
Keywords
quintic functional equation; Hyers-Ulam stability; non-Archimedean 2-normed spaces; fixed point method;
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Times Cited By KSCI : 2  (Citation Analysis)
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