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http://dx.doi.org/10.14403/jcms.2013.26.2.367

STABILITY OF A GENERAL QUADRATIC 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
Journal of the Chungcheong Mathematical Society / v.26, no.2, 2013 , pp. 367-375 More about this Journal
Abstract
In this paper, we investigate the stability for the functional equation $$f(x+y+z)+f(x-y)+f(x-z)-f(x-y-z)-f(x+y)-f(x+z)=0$$ in non-Archimedean normed spaces.
Keywords
non-Archimedean normed spaces; general quadratic functional equation;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan 2 (1950), 64-66.   DOI
2 D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. U. S. A. 27 (1941), 222-224.   DOI   ScienceOn
3 K. W. Jun and H. M. Kim, The generalized Hyers-Ulam stability of a general quadratic functional equation, J. Appl. Math. Comput. 15 (2004), 377-392.
4 H. M. Kim, Hyers-Ulam stability of a general quadratic functional equation, Publ. Inst. Math. (Beograd) 73 (2003), 129-137.   DOI
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
6 Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.   DOI   ScienceOn
7 S. M. Ulam, A Collection of Mathematical Problems, Interscience, New York, 1960.