Browse > Article
http://dx.doi.org/10.5831/HMJ.2013.35.1.93

STABILITY OF A QUADRATIC-ADDITIVE TYPE FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES  

Lee, Chang-Ju (Department of Mathematics Education, Gongju National University of Education)
Lee, Yang-Hi (Department of Mathematics Education, Gongju National University of Education)
Publication Information
Honam Mathematical Journal / v.35, no.1, 2013 , pp. 93-100 More about this Journal
Abstract
In this paper, we investigate the stability for the functional equation $$2f(x+y)+f(x-y)+f(y-x)-f(2x)-f(2y)=0$$ in non-Archimedean normed spaces.
Keywords
non-Archimedean normed spaces; quadratic-additive type functional equation;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.
2 S.M. Ulam, A Collection of Mathematical Problems, Interscience, New York, 1960.
3 T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan 2 (1950), 64-66.   DOI
4 D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. USA 27 (1941), 222-224.
5 M.S. Moslehian and Th. M. Rassias, Stability of functional equations in non-Archimedean spaces, Appl. Anal. Discrete Math. 1 (2007), 325-334.   DOI   ScienceOn