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The Generalized Hyers-Ulam stability of additive functional inequalities in non-Archimedean 2-normed space
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In this paper, we investigate the solution of the following functional inequality (formula) for some fixed non-zero integer a, and prove the generalized Hyers-Ulam stability of it in non-Archimedean 2-normed spaces.
Abstract
In this paper, we investigate the solution of the following functional inequality (formula) for some fixed non-zero integer a, and prove the generalized Hyers-Ulam stability of it in non-Archimedean 2-normed spaces.
참고문헌 (19)
- T. Aoki, "On the stability of the linear transformation in Banach space", J. Math. Soc. Japan, 2, pp.64~66 (1950)
- W. Fechner, "Stability of a functional inequalty associated with the Jordan-Von Neumann functional equation", Aequationes Math, 71, pp.149~161 (2006)
- S. Gahler, "2-metrische Rume und ihre topologische Struktur", Math. Nachr, 26, pp.115~148 (1963)
- S. Gahler, "Lineare 2-normierte Rumen", Math. Nachr, 28, pp.1~43 (1964)
- P. Gavruta, "A generalization of the Hyers-Ulam-Rassias of approximatel additive mappings", J. Math. Anal, 184, pp.431~436 (1994)
- A. Gil'anyi, "Eine Parallelogrammgleichung "aquivalente Ungleichung", Aequationes Math, 62, pp.303~309 (2001)
- A. Gil'anyi, "On a problem by K. Nikoden", Math. Inequal. Appl, 5, pp.701~710 (2002)
- E. M. Gordji, "A general system of Euler-Lagrange-type quadratic functional equations in Menger Probabilistic non-Archimedean spaces", Abst. Appl. Anal, 2011 (2011)
- K. Hensel, "ber eine neue Begrndung der Theorie der algebraischen Zahlen, Jahresber, Dtsch. Math.-Ver. 6", 83~88 (1897)
- D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. USA, 27, pp.222~224 (1941)
- Z. Lewandowska, "Linear operators on generalized 2-normed spaces", Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 42, pp.353~368 (1999)
- Z. Lewandowska, "Bounded 2-linear operators on 2-normed sets", Glas. Mat, 39, pp.301~312 (2004)
- M. S. Moslehian, "Stability of functional equations in non-Archimedean spaces", Applicable Anal. Discrete Math, 1, pp.325~334 (2007)
- W. Park, "Approximate additive mappings in 2-Banach spaces and related topics", J. Math. Anal. Appl, 376, pp.193~202 (2011)
- C. Park, "Functional inequalities associated with Jordan-von Neumann type additive functional equations", J. Inequal. Appl (2007)
- C. Park, "Fixed points and approximately octic mappings in non-Archimedean 2-normed spaces", J. Inequal. Appl (2012)
- T. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Am. Math. Soc, 72, pp.297~300 (1978)
- S. M. Ulam, "Problems in Modern Mathematics" (1964), Wiley
- A. White, "2-Banach spaces", Math. Nachr, 42, pp.43~60 (1969)
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