논문KCI 등재
A Fixed Point Approach to the Stability of a Generalized Quadratic and Additive Functional Equation
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we investigate the stability of the functional equation f(x + 2y) - 2f(x + y) + 2f(x - y) - f(x - 2y) = 0 by using the xed point theory in the sense of L. Cadariu and V. Radu.
Abstract
In this paper, we investigate the stability of the functional equation f(x + 2y) - 2f(x + y) + 2f(x - y) - f(x - 2y) = 0 by using the xed point theory in the sense of L. Cadariu and V. Radu.
참고문헌 (19)
- T. Aoki, "On the stability of the linear transformation in Banach spaces", J. Math. Soc. Japan, 2, pp.64~66 (1950)
- L. Cadariu, "Fixed points and the stability of Jensen's functional equation", J. Inequal. Pure Appl. Math., 4, pp.4~ (2003)
- L. Cadariu, "Fixed points and the stability of quadratic functional equa- tions", An. Univ. Timisoara Ser. Mat.-Inform., 41, pp.25~48 (2003)
- J. B. Diaz, "A xed point theorem of the alternative for contractions on a generalized complete metric space", Bull. Amer. Math. Soc., 74, pp.305~309 (1968)
- P. Gavruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl., 184, pp.431~436
- D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. USA, 27, pp.222~224 (1941)
- 전길웅, "On the Hyers-Ulam stability of a generalized quadratic and additive functional equation", 대한수학회보, 42(1), pp.133~148 (2005), 대한수학회
- K. -W. Jun, "On the stability of a general quadratic functional equation and applications", J. Chungcheong Math. Soc., 17, pp.57~75 (2004)
- Kil-Woung Jun, "A Generalization of the Hyers-Ulam-Rassias Stability of the Pexiderized Quadratic Equations, II", Kyungpook Mathematical Journal, 47(1), pp.91~103 (2007), 경북대학교 자연과학대학 수학과
- K. -W. Jun, "On the stability of a new Pexider type functional equation", J. Inequal. Appl, pp.22~ (2008)
- G. -H. Kim, "On the stability of functional equations with square-symmetric operation", Math. Inequal. Appl., 4, pp.257~266 (2001)
- 이양희, "On the stability of the monomial functional equation", 대한수학회보, 45(2), pp.397~403 (2008), 대한수학회
- Y. H. Lee, "A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation", J. Math. Anal. Appl., 238, pp.305~315 (1999)
- Y. H. Lee, "A generalization of the Hyers-Ulam-Rassias stability of Pexider equation", J. Math. Anal. Appl., 246, pp.627~638 (2000)
- Y. H. Lee, "A note on the Hyers-Ulam-Rassias stability of Pexider equation", J. Korean Math. Soc, 37, pp.111~124 (2000)
- Y. H. Lee, "On the stability of approximately additive mappings", Proc. Amer. Math. Soc., 128, pp.1361~1369 (2000)
- Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc., 72, pp.297~300 (1978)
- I. A. Rus, "Principles and applications of xed point theory" (1979), Cluj-Napoca
- S. M. Ulam, "A Collection of Mathematical Problems" (1960), Interscience
관련 논문AI추천
A Fixed Point Approach to the Stability of an Additive-cubic-quartic Functional Equation이양희한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제4호A FIXED POINT APPROACH TO THE STABILITY OF THE QUADRATIC-ADDITIVE FUNCTIONAL EQUATION박원길, 배재형, 이양희, 진선숙한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제4호A fixed point approach to the stability of a quadratic-cubic functional equation이양희강원경기수학회 · 한국수학논문집2019 · 제27권 제2호A FIXED POINT APPROACH TO THE STABILITY OF A QUADRATIC-CUBIC-QUARTIC FUNCTIONAL EQUATION이양희영남수학회 · East Asian Mathematical Journal2019 · 제35권 제5호A fixed point approach to the stability of the generalized polynomial functional equation of degree 2이양희, 진선숙대한수학회 · 대한수학회논문집2013 · 제28권 제2호A Fixed Point Approach to the Stability of a Functional Equation박원길, 배재형경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제4호
이 간행물의 다른 논문 (11건)
Some Siegel Threefolds with a Calabi-Yau Model IIRiccardo Salvati Manni, Eberhard Freitagpp. 149-174On BN-algebras김창범, 김희식pp. 175-184A Class of Invertible Bilateral Weighted Shifts칼피어시, 정일봉pp. 185-189Meromorphic Functions Sharing a Nonzero Polynomial IMPulak Sahoopp. 191-205Integrability of Distributions in GCR-lightlike Submanifolds of Inde nite Sasakian ManifoldsVarun Jain, Rakesh Kumar Nagaich, Rakesh Kumarpp. 207-218
