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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 315 - 327 (13page)
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초록· 키워드
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We give a xed point approach to the generalized Hyers-Ulam stability of the cubic equation f(2x + y) + f(2x -y) = 2f(x + y) + 2f(x -y) + 12f(x)in non-Archimedean normed spaces. We will give an example to show that some known results in the stability of cubic functional equations in real normed spaces fail in non-Archimedean normed spaces. Finally, some applications of our results in non-Archimedean normed spaces over p-adic numbers will be exhibited.
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참고문헌 (29)
참고문헌 신청
-Archimedean spaces / Amer. Math. Monthly 88 (9) : 667 ~ 676
A. K. Mirmostafaee / 2008 / Fuzzy approximately cubic mappings / Inform. Sci. 178 (19) : 3791 ~ 3798
A. Najati / 2007 / The generalized Hyers-Ulam-Rassias stability of a cubic functional equa-tion / Turk J. Math. 31 : 395 ~ 408
Alireza Kamel Mirmostafaee / 2009 / Approximately additive mappings in non-Archimedean normed spaces / 대한수학회보 46 (2) : 387 ~ 400
Alireza Kamel Mirmostafaee / 2009 / Stability of Quartic Mappings in Non-Archimedean Normed Spaces / Kyungpook Mathematical Journal 49 (2) : 289 ~ 297
A. K. Mirmostafaee / 2008 / Fuzzy approximately cubic mappings / Inform. Sci. 178 (19) : 3791 ~ 3798
A. Najati / 2007 / The generalized Hyers-Ulam-Rassias stability of a cubic functional equa-tion / Turk J. Math. 31 : 395 ~ 408
Alireza Kamel Mirmostafaee / 2009 / Approximately additive mappings in non-Archimedean normed spaces / 대한수학회보 46 (2) : 387 ~ 400
Alireza Kamel Mirmostafaee / 2009 / Stability of Quartic Mappings in Non-Archimedean Normed Spaces / Kyungpook Mathematical Journal 49 (2) : 289 ~ 297
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