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GENERALIZED HYERS{ULAM STABILITY OF CUBIC TYPE FUNCTIONAL EQUATIONS IN NORMED SPACES
김광휘,신환용 충청수학회 2015 충청수학회지 Vol.28 No.3
In this paper, we solve the Hyers-Ulam stability prob- lem for the following cubic type functional equation f(rx + sy) + f(rx ¡ sy) = rs2f(x + y) + rs2f(x ¡ y) + 2r(r2 ¡ s2)f(x) in quasi-Banach space and non-Archimedean space, where r 6= §1; 0 and s are real numbers.
Additive functional equation with several variables and its stability
김학만,신환용 충청수학회 2014 충청수학회지 Vol.27 No.3
In this paper, we prove the generalized Hyers{Ulamstability of an n-dimensional additive functional equation, and thenapply stability results to Banach modules over a unital Banachalgebras.
APPROXIMATELY QUADRATIC MAPPINGS IN NON-ARCHIMEDEAN FUZZY NORMED SPACES
김광휘,신환용 경남대학교 기초과학연구소 2018 Nonlinear Functional Analysis and Applications Vol.23 No.2
In this paper, we present the stability results and alternative stability results concerning the quadratic functional equation in non-Archimedean fuzzy normed spaces. As corollaries, we obtain the stability results of the quadratic functional equation in non- Archimedean normed spaces.