INFORMAZIONI SU QUESTO ARTICOLO

Cita

[1] M. Ait Sibaha; B. Bouikhalene and E. Elqorachi, Hyers-Ulam-Rassias stability of the K-quadratic functional equation, . Ineq. Pure and appl. Math., 8, (2007), article 89Search in Google Scholar

[2] T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan, 2, (1950), 64-6610.2969/jmsj/00210064Search in Google Scholar

[3] L.M. Arriola and W.A. Beyer, Stability of the Cauchy functional equation over p-adic fields, Real Analysis Exchange, 31, (2005/2006), 125-13210.14321/realanalexch.31.1.0125Search in Google Scholar

[4] J. A. Baker, A general functional equation and its stability, Proceeding of the American Mathematical Society, 133, Number 6, (2005), 1657-166410.1090/S0002-9939-05-07841-XSearch in Google Scholar

[5] B. Bouikhalene; E. Elqorachi and Th.M. Rassias, On the generalized Hyers- Ulam stability of the quadratic functional equation with a general involution, Anal. Appl. Appl., 11, (2008), 805-818Search in Google Scholar

[6] N. Brillouet-Belluot; J. Brzdęek and K. Cieplinski, On some recent develop- ments in Ulam's type stability, Abstr. Appl. Anal., (2012), Art. ID 716936, 41 pp.10.1155/2012/716936Search in Google Scholar

[7] J. Brzdęek, Hyperstability of the Cauchy equation on restricted domains, Acta Math. Hungar., 141, (2013), 58-6710.1007/s10474-013-0302-3Search in Google Scholar

[8] J. Brzdęek, On a method of proving the Hyers-Ulam stability of functional equations on restricted domains, Austr. J. Math. Anal. Appl., 6, (2009), 1-10Search in Google Scholar

[9] AB.Chahbi; A.Charifi; B. Bouikhalene and S. Kabbaj, Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation, Arab Journal of Mathematical Sciences, (2014)10.1016/j.ajmsc.2014.01.001Search in Google Scholar

[10] A. Charifi; B. Bouikhalene; E. Elqorachi and A. Redouani, Hyers-Ulam- Rassias stability of a generalized Jensen functional equation, The Australian Journal of Mathematical Analysis and Applications, 6, (2009), Issue 1, Article 19, pp. 1-16Search in Google Scholar

[11] P.W. Cholewa, Remarks on the stability of functional equtaions, Aequationes Math., 27, (1984), 76-8610.1007/BF02192660Search in Google Scholar

[12] K. Cieplinski, Applications of fixed point theorems to the Hyers-Ulam stability of functional equations-a survey, Ann. Funct. Anal., 3 no. 1, (2012), 151-16410.15352/afa/1399900032Search in Google Scholar

[13] S. Czerwik, On the stability of the quadratic mapping in normed spaces, Abh. Math.Sem. Univ. Hamburg, 62, (1992), 59-6410.1007/BF02941618Search in Google Scholar

[14] D.Z. Djokovic, A representation theorem for (X1 - 1)(X2 - 1)(Xn - 1) and its applications, Ann. Polon. Math., 22, (1969), 189-198. MR0265798 (42:707)10.4064/ap-22-2-189-198Search in Google Scholar

[15] E. Elqorachi and Y. Manar, On the paper by A. Najati and S.-M. Jung: The Hyers- Ulam stability of approximately quadratic mapping on restricted domains, Journal of Nonlinear Analysis and Application, 2012, (2012)Search in Google Scholar

[16] P. Găvrută, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl., 184, (1994), 431-43610.1006/jmaa.1994.1211Search in Google Scholar

[17] D.H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci.U.S.A., 27, (1941), 222-22410.1073/pnas.27.4.222107831016578012Search in Google Scholar

[18] D.H. Hyers and Th.M. Rassias, Approximate homomorphisms, Aequationes Math., 44, (1992), 125-15310.1007/BF01830975Search in Google Scholar

[19] D.H. Hyers; G.I. Isac and Th.M. Rassias, Stability of Functional Equations in Several Variables, Birkhflauser, Basel, (1998)10.1007/978-1-4612-1790-9Search in Google Scholar

[20] D.H. Hyers, Transformations with bounded n-th differences, Pacific J. Math., 11, (1961), 591-602. MR0132401 (24:A2246)10.2140/pjm.1961.11.591Search in Google Scholar

[21] K.-W. Jun and Y.-H. Lee, A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation, J. Math. Anal. Appl., 238, (1999), 305-31510.1006/jmaa.1999.6546Search in Google Scholar

[22] S.M. Jung, On the Hyers-Ulam stability of the functional equations that have the quadratic property, J. Math. Anal. Appl., 222, (1998), 126-13710.1006/jmaa.1998.5916Search in Google Scholar

[23] S.M. Jung, Stability of the quadratic equation of Pexider type, Abh. Math. Sem.Univ. Hamburg, 70, (2000), 175-19010.1007/BF02940912Search in Google Scholar

[24] S.M. Jung and P. K. Sahoo, Hyers-Ulam stability of the quadratic equation of Pexider type, J. Korean Math. Soc., 38 No. 3, (2001), 645-656Search in Google Scholar

[25] C.F.K. Jung, On generalized complete metric spaces, Bull. A.M.S., 75, (1969), 113-11610.1090/S0002-9904-1969-12165-8Search in Google Scholar

[26] Y. Li and L. Hua, Hyers-Ulam stability of polynomial equation, Banach J. Math.Anal., 3 no. 2, (2009), 86-9010.15352/bjma/1261086712Search in Google Scholar

[27] R. Lukasik, Some generalization of Cauchy's and the quadratic functional equations, Aequat. Math., 83, (2012), 75-8610.1007/s00010-011-0106-xSearch in Google Scholar

[28] S. Mazur and W. Orlicz, Grundlegende Eigenschaften der Polynomischen Opera- tionen, Erst Mitteilung, Studia Math., 5, (1934), 50-6810.4064/sm-5-1-50-68Search in Google Scholar

[29] S. Mazur and W. Orlicz, Grundlegende Eigenschaften der Polynomischen Opera- tionen, Zweite Mitteilung, ibidem, 5, (1934), 179-18910.4064/sm-5-1-179-189Search in Google Scholar

[30] A.Najati and S. M.Jung, Approximately quadratic mappings on restricted do- mains, J. Ineq. Appl, (2010)10.1155/2010/503458Search in Google Scholar

[31] A. Rahimi and A. Najati, On the asymptoticity aspect of Hyers-Ulam stability of quadratic mappings, Journal of Inequalities and Applications, vol. 2010, (2011)10.1155/2010/454875Search in Google Scholar

[32] Th.M. Rassias, On the stability of linear mapping in Banach spaces, Proc. Amer.Math. Soc., 72, (1978), 297-30010.1090/S0002-9939-1978-0507327-1Search in Google Scholar

[33] Th.M. Rassias, On the stability of the functional equations and a problem of Ulam, Acta Applicandae Mathematicae, 62, (2000), 23-13010.1023/A:1006499223572Search in Google Scholar

[34] and P. Šemrl Th.M. Rassias, On the behavior of mappings which do not satisfy Hyers-Ulam stability, Proc. Amer. Math. Soc., 114, (1992), 989-99310.1090/S0002-9939-1992-1059634-1Search in Google Scholar

[35] Th.M. Rassias and J. Tabor, Stability of Mappings of Hyers-Ulam Type, Hardronic Press, Inc., Palm Harbor, Florida, (1994)Search in Google Scholar

[36] J.M. Rassias, On the Ulam stability of mixed type mappings on restricted domains, J. Math. Anal. Appl., 276, (2002), 747-76210.1016/S0022-247X(02)00439-0Search in Google Scholar

[37] F. Skof, Local properties and approximations of operators, Rend. Sem. Mat. Fis.Milano, 53, (1983), 113-12910.1007/BF02924890Search in Google Scholar

[38] S.M. Ulam, A Collection of Mathematical Problems, Interscience Publ. New York, 1961. Problems in Modern Mathematics, Wiley, New York, (1964) Search in Google Scholar

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