[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2011.26.1.099

SEVERAL STABILITY PROBLEMS OF A QUADRATIC FUNCTIONAL EQUATION

Cho, In-Goo (FACULTY OF LIBERAL EDUCATION UNIVERSITY OF INCHEON)
Koh, Hee-Jeong (DEPARTMENT OF MATHEMATICS EDUCATION DANKOOK UNIVERSITY)

Publication Information

Communications of the Korean Mathematical Society / v.26, no.1, 2011 , pp. 99-113 More about this Journal

Abstract

In this paper, we investigate the stability using shadowing property in Abelian metric group and the generalized Hyers-Ulam-Rassias stability in Banach spaces of a quadratic functional equation, $f(x_1+x_2+x_3+x_4)+f(-x_1+x_2-x_3+x_4)+f(-x_1+x_2+x_3)+f(-x_2+x_3+x_4)+f(-x_3+x_4+x_1)+f(-x_4+x_1+x_2)=5{\sum\limits_{i=1}^4}f(x_i)$ . Also, we study the stability using the alternative fixed point theory of the functional equation in Banach spaces.

Keywords

shadowing property-stability; generalized Hyers-Ulam stability; quadratic mapping;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By SCOPUS : 0

Reference
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