본문 바로가기
KERD
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)

  1. T. Aoki, "On the stability of the linear transformation in Banach spaces", J. Math. Soc. Japan, 2, pp.64~66 (1950)
  2. L. Cadariu, "Fixed points and the stability of Jensen's functional equation", J. Inequal. Pure Appl. Math., 4, pp.4~ (2003)
  3. L. Cadariu, "Fixed points and the stability of quadratic functional equa- tions", An. Univ. Timisoara Ser. Mat.-Inform., 41, pp.25~48 (2003)
  4. 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)
  5. P. Gavruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl., 184, pp.431~436
  6. D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. USA, 27, pp.222~224 (1941)
  7. 전길웅, "On the Hyers-Ulam stability of a generalized quadratic and additive functional equation", 대한수학회보, 42(1), pp.133~148 (2005), 대한수학회
  8. K. -W. Jun, "On the stability of a general quadratic functional equation and applications", J. Chungcheong Math. Soc., 17, pp.57~75 (2004)
  9. 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
  10. K. -W. Jun, "On the stability of a new Pexider type functional equation", J. Inequal. Appl, pp.22~ (2008)
  11. G. -H. Kim, "On the stability of functional equations with square-symmetric operation", Math. Inequal. Appl., 4, pp.257~266 (2001)
  12. 이양희, "On the stability of the monomial functional equation", 대한수학회보, 45(2), pp.397~403 (2008), 대한수학회
  13. Y. H. Lee, "A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation", J. Math. Anal. Appl., 238, pp.305~315 (1999)
  14. Y. H. Lee, "A generalization of the Hyers-Ulam-Rassias stability of Pexider equation", J. Math. Anal. Appl., 246, pp.627~638 (2000)
  15. Y. H. Lee, "A note on the Hyers-Ulam-Rassias stability of Pexider equation", J. Korean Math. Soc, 37, pp.111~124 (2000)
  16. Y. H. Lee, "On the stability of approximately additive mappings", Proc. Amer. Math. Soc., 128, pp.1361~1369 (2000)
  17. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc., 72, pp.297~300 (1978)
  18. I. A. Rus, "Principles and applications of xed point theory" (1979), Cluj-Napoca
  19. S. M. Ulam, "A Collection of Mathematical Problems" (1960), Interscience

관련 논문AI추천

이 간행물의 다른 논문 (11건)