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A FIXED POINT APPROACH TO THE STABILITY OF A QUADRATIC-CUBIC-QUARTIC FUNCTIONAL EQUATION
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초록
In this paper, we investigate the stability problems for a functional equation f(x+2y) +&f(x-2y)-4f(x+y)-4f(x-y)+6f(x)-2f(2y)+12f(y)-4f(-y) = 0 by using the fixed point theory in the sense of L. C\u{a}dariu and V. Radu.
Abstract
In this paper, we investigate the stability problems for a functional equation f(x+2y) +&f(x-2y)-4f(x+y)-4f(x-y)+6f(x)-2f(2y)+12f(y)-4f(-y) = 0 by using the fixed point theory in the sense of L. C\u{a}dariu and V. Radu.
참고문헌 (14)
- L. Cadariu, "Fixed points and the stability of quadratic functional equations", An. Univ. Timisoara Ser. Mat. -Inform, 41, pp.25~48 (2003)
- L. Cadariu, "On the stability of the Cauchy functional equation: a fixed point approach in Iteration Theory, Grazer Mathematische Berichte, Karl-Franzens-Universitaet", Graz, Graz, Austria, 346, pp.43~52 (2004)
- J. B. Diaz, "A fixed 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 ad-ditive mappings", J. Math. Anal. Appl, 184, pp.431~436 (1994)
- M. E. Gordji, "Stability of a mixed type quadratic, cubic and quartic functional equation", arXiv preprint arXiv:0812.2939, ~ (2008)
- M. E. Gordji, "General quartic-cubic-quadratic func-tional equation in non-Archimedean normed spaces", U.P.B. Sci. Bull., Series A, 72(Iss. 3), pp.69~84 (2010)
- D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. U. S. A, 27, pp.222~224 (1941)
- Y.-H. Lee, "Hyers-Ulam-Rassias stability of a quadratic-additive type functional equation on a restricted domain", Int. J. Math. Anal. (Ruse), 7, pp.2745~2752 (2013)
- Y. -H. Lee, "Stability of a monomial functional equation on a restricted domain", Mathematics, 5(4), pp.53~ (2017)
- 이양희, "On the Hyers-Ulam-Rassias Stability of a General Quartic Functional Equation", East Asian Mathematical Journal, 35(3), pp.351~356 (2019), 영남수학회
- 이양희, "On the Stability of a General Quadratic-Cubic Functional Equation in Non-Archimedean Normed Spaces", East Asian Mathematical Journal, 35(3), pp.331~340 (2019), 영남수학회
- 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 Fixed Point Theory", ~ (1979)
- S.M. Ulam, "A Collection of Mathematical Problems" (1960), Interscience
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