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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 161 - 170 (10page)
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In this paper, we introduce and solve the following additive (ρ1, ρ2)- functional inequality kf (x + y + z) ¡ f(x) ¡ f(y) ¡ f(z)k · k½1(f(x (0.1) + z) ¡ f(x) ¡ f(z))k + k½2 (f(y + z) ¡ f(y) ¡ f(z))k ; where ρ1 and ρ2 are ¯xed nonzero complex numbers with j½1j + j½2j < 2. Using the ¯xed point method and the direct method, we prove the Hyers- Ulam stability of the additive (ρ1, ρ2)-functional inequality (0.1) in complex Banach spaces.
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참고문헌 (19)
참고문헌 신청
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
L. Cadariu / 2013 / On the stability of an affine functional equation / J. Nonlinear Sci. Appl. 6:60~67
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
L. Cadariu / 2008 / Fixed point methods for the generalized stability of functional equations in a single variable / Fixed Point Theory Appl.
L. Cadariu / 2013 / On the stability of an affine functional equation / J. Nonlinear Sci. Appl. 6:60~67
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
L. Cadariu / 2008 / Fixed point methods for the generalized stability of functional equations in a single variable / Fixed Point Theory Appl.
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