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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 413 - 423 (11page)
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In this paper, we consider the functional equation f(x+2y)-3f(x+y)+3f(x)-f(x-y)-3f(y)+3f(-y)=0 and prove the generalized Hyers-Ulam stability for it when the targetspace is a fuzzy Banach space. The usual method to obtain the stability for mixed type functional equation isto split the cases according to whether the involving mappings are odd or even. Inthis paper, we show that the stability of a quadratic-cubic mapping canbe obtained without distinguishing the two cases.
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참고문헌 (23)
참고문헌 신청
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
T. Bag / 2003 / Finite dimensional fuzzy normed linear spaces / J. Fuzzy Math. 3:687~705
S. C. Cheng / 1994 / Fuzzy linear operator and fuzzy normed linear spaces / Bull. Calcutta Math. Soc. 86:429~436
P.W.Cholewa / 1984 / Remarkes on the stability of functional equations / Aequationes Math. 27:76~86
K Cieplinski / 2012 / Applications of fixed point theorems to the hyers-ulam stability of functional equation-A survey / Ann. Funct. Anal 3(1):151~164
T. Bag / 2003 / Finite dimensional fuzzy normed linear spaces / J. Fuzzy Math. 3:687~705
S. C. Cheng / 1994 / Fuzzy linear operator and fuzzy normed linear spaces / Bull. Calcutta Math. Soc. 86:429~436
P.W.Cholewa / 1984 / Remarkes on the stability of functional equations / Aequationes Math. 27:76~86
K Cieplinski / 2012 / Applications of fixed point theorems to the hyers-ulam stability of functional equation-A survey / Ann. Funct. Anal 3(1):151~164
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