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http://dx.doi.org/10.7858/eamj.2015.043

A FIXED POINT APPROACH TO THE ORTHOGONAL STABILITY OF MIXED TYPE FUNCTIONAL EQUATIONS

JEON, YOUNG JU (DEPARTMENT OF MATHEMATICS EDUCATION, CHONBUK NATIONAL UNIVERSITY)
KIM, CHANG IL (DEPARTMENT OF MATHEMATICS EDUCATION, DANKOOK UNIVERSITY)

Publication Information

East Asian mathematical journal / v.31, no.5, 2015 , pp. 627-634 More about this Journal

Abstract

In this paper, we investigate the following orthogonally additive-quadratic functional equation f(2x + y) - f(x + 2y) - f(x + y) - f(y - x) - f(x) + f(y) + f(2y) = 0. and prove the generalized Hyers-Ulam stability for it in orthogonality spaces by using the fixed point method.

Keywords

Hyers-Ulam stability; fixed point; orthogonally additive-quadratic functional equation; orthogonality space;

Citations & Related Records

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