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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.8
- 수록면
- 179 - 190 (12page)
- DOI
- https://doi.org/10.7468/jksmeb.2017.24.3.179
이용수
초록· 키워드
오류제보하기
In this paper, we introduce and solve the following quadratic (½1; ½2)- functional inequality N μ 2f ³x + y 2 ´ + 2f ³x ¡ y 2 ´ ¡ f(x) ¡ f(y); t ¶ (0.1) · min μ N (½1 (f(x + y) + f(x ¡ y) ¡ 2f(x) ¡ 2f(y)) ; t) ; N ³ ½2 ³ 4f ³x + y 2 ´ + f(x ¡ y) ¡ 2f(x) ¡ 2f(y) ´ ; t ´¶ in fuzzy normed spaces, where ½1 and ½2 are ?xed nonzero real numbers with 1 4j½1j + 1 4j½2j < 1, and f(0) = 0.
Using the ?xed point method, we prove the Hyers-Ulam stability of the quadratic (½1; ½2)-functional inequality (0.1) in fuzzy Banach spaces.
목차
등록된 정보가 없습니다.
참고문헌 (50)
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 11:687~705
T. Bag / 2005 / Fuzzy bounded linear operators / Fuzzy Sets and Systems 151:513~547
L. Cadariu / 2003 / Fixed points and the stability of Jensen's functional equation / J. Inequal. Pure Appl. Math 4(1)
L. Cadariu / 2004 / On the stability of the Cauchy functional equation: a fixed point approach / Grazer Math. Ber 346:43~52
T. Bag / 2003 / Finite dimensional fuzzy normed linear spaces / J. Fuzzy Math 11:687~705
T. Bag / 2005 / Fuzzy bounded linear operators / Fuzzy Sets and Systems 151:513~547
L. Cadariu / 2003 / Fixed points and the stability of Jensen's functional equation / J. Inequal. Pure Appl. Math 4(1)
L. Cadariu / 2004 / On the stability of the Cauchy functional equation: a fixed point approach / Grazer Math. Ber 346:43~52
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