[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2017.30.4.467

APPROXIMATE ADDITIVE-QUADRATIC MAPPINGS AND BI-JENSEN MAPPINGS IN 2-BANACH SPACES

Park, Won-Gil (Department of Mathematics Education Mokwon University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.30, no.4, 2017 , pp. 467-476 More about this Journal

Abstract

In this paper, we obtain the stability of the additive-quadratic functional equation f(x+y, z+w)+f(x+y, z-w) = 2f(x, z)+2f(x, w)+2f(y, z)+2f(y, w) and the bi-Jensen functional equation $$$4f(\frac{x+y}{2},\;\frac{z+w}{2})=f(x,\;z)+f(x,\;w)+f(y,\;z)+f(y,$ $\;w)$$$ in 2-Banach spaces.

Keywords

linear 2-normed space; additive-quadratic mapping; bi-Jensen mapping;

Citations & Related Records

Times Cited By KSCI : 3 (Citation Analysis)

Reference
Cited By KSCI

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