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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.22 No.4

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ADDITIVE ρ-FUNCTIONAL EQUATIONS IN BANACH SPACES

ADDITIVE -FUNCTIONAL EQUATIONS IN BANACH SPACES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2015, v.22 no.4, pp.375-382
https://doi.org/10.7468/jksmeb.2015.22.4.375
JUN, IN WHAN (DEPARTMENT OF MATHEMATICS, HANYANG UNIVERSITY)
SEO, JEONG PIL (OHSANG HIGH SCHOOL)
LEE, SUNGJIN (DEPARTMENT OF MATHEMATICS, DAEJIN UNIVERSITY)
JUN, IN WHAN, SEO, JEONG PIL, & LEE, SUNGJIN. (2015). ADDITIVE ρ-FUNCTIONAL EQUATIONS IN BANACH SPACES. , 22(4), 375-382, https://doi.org/10.7468/jksmeb.2015.22.4.375

Abstract

In this paper, we solve the additive ρ-functional equations

keywords
Hyers-Ulam stability, additive ρ-functional equation, Banach space

참고문헌

1.

Ulam, S.M.;. A Collection of the Mathematical Problems.

2.

Rassias, Th.M.;. (1978). On the stability of the linear mapping in Banach spaces. Proc. Amer. Math. Soc., 72, 297-300. 10.1090/S0002-9939-1978-0507327-1.

3.

Hyers, D.H.;. (1941). On the stability of the linear functional equation. Proc. Natl. Acad. Sci. U.S.A., 27, 222-224. 10.1073/pnas.27.4.222.

4.

Gǎvruta, P.;. (1994). A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings. J. Math. Anal. Appl., 184, 431-443. 10.1006/jmaa.1994.1211.

5.

Aoki, T.;. (1950). On the stability of the linear transformation in Banach spaces. J. Math. Soc. Japan, 2, 64-66. 10.2969/jmsj/00210064.

한국수학교육학회지시리즈B:순수및응용수학

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