참고문헌
- T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan 2 (1950), 64-66. https://doi.org/10.2969/jmsj/00210064
- T. Bag and S. K. Samanta, Finite dimensional fuzzy normed linear spaces, J. Fuzzy Math. 3 (2003), 687-705.
- S. C. Cheng and J. N. Mordeson, Fuzzy linear operator and fuzzy normed linear spaces, Bull. Calcutta Math. Soc. 86 (1994), 429-436.
- P. W. Cholewa, Remarkes on the stability of functional equations, Aequationes Math. 27 (1984), 76-86. https://doi.org/10.1007/BF02192660
- S. Czerwik, On the stability of the quadratic mapping in normed spaces, Abh. Math. Sem. Univ. Hamburg 62 (1992), 59-64. https://doi.org/10.1007/BF02941618
- J. B. Diaz and B. Margolis, A fixed point theorem of the alternative, for con-tractions on a generalized complete metric space, Bulletin of the American Mathematical Society 74 (1968), 305-309. https://doi.org/10.1090/S0002-9904-1968-11933-0
- W. Fechner, Stability of a functional inequalty associated with the Jordan-Von Neumann functional equation, Aequationes Mathematicae 71 (2006), 149-161. https://doi.org/10.1007/s00010-005-2775-9
- P. Gavruta, A generalization of the Hyer-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 184 (1994), 431-436. https://doi.org/10.1006/jmaa.1994.1211
- A. Gilanyi, Eine zur Parallelogrammgleichung "aquivalente Ungleichung, Aequationes Mathematicae 62 (2001), 303-309. https://doi.org/10.1007/PL00000156
- A. Gilanyi, On a problem by K. Nikoden, Mathematical Inequalities and Applications 5 (2002), 701-710.
- D. H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. 27 (1941), 222-224. https://doi.org/10.1073/pnas.27.4.222
- A. K. Katsaras, Fuzzy topological vector spaces II, Fuzzy Sets Syst. 12 (1984), 143-154. https://doi.org/10.1016/0165-0114(84)90034-4
- H. M. Kim, K. W. Jun, and E. Son, Hyers-Ulam stability of Jensen functional inequality in p-Banach spaces, Abstract and Applied Analysis 2012 (2012), 1-16.
- I. Kramosil and J. Michalek, Fuzzy metric and statistical metric spaces, Kybernetica 11 (1975), 326-334.
- A. K. Mirmostafaee, M. Mirzavaziri, and M. S. Moslehian, Fuzzy stability of the Jensen functional equation, Fuzzy Sets Syst. 159 (2008), 730-738. https://doi.org/10.1016/j.fss.2007.07.011
- A. K. Mirmostafaee and M. S. Moslehian, Fuzzy almost quadratic functions, Results Math. 52 (2008), 161-177. https://doi.org/10.1007/s00025-007-0278-9
- A. K. Mirmostafaee and M. S. Moslehian, Fuzzy versions of Hyers-Ulam-Rassias theorem, Fuzzy Sets Syst. 159 (2008), 720-729. https://doi.org/10.1016/j.fss.2007.09.016
- M. Mirzavaziri and M. S. Moslehian, A fixed point approach to stability of a quadratic equation, Bulletin of the Brazilian Mathematical Society 37 (2006), 361-376. https://doi.org/10.1007/s00574-006-0016-z
- M. S. Moslehian and T. H. Rassias, Stability of functional equations in non-Archimedean spaces, Applicable Anal. Discrete Math. 1 (2007), 325-334. https://doi.org/10.2298/AADM0702325M
- C. Park, Fuzzy Stability of Additive Functional Inequalities with the Fixed Point Alternative, J. Inequal. Appl. 2010 (2010), 1-17.
- C. Park, Y. S. Cho, and M. H. Han, Functional inequalities associated with Jordan-von Neumann type additive functional equations, J. Inequal. Appl. 2007 (2007).
- Th. M. Rassias, On the stability of the linear mapping in Banach sapces, Proc. Amer. Math. Sco. 72 (1978), 297-300. https://doi.org/10.1090/S0002-9939-1978-0507327-1
- J. Ratz, On inequalities associated with the Jordan-von Neumann functional equation, Aequationes Mathematicae 66 (2003), 191-200. https://doi.org/10.1007/s00010-003-2684-8
- S. M. Ulam, Problems in Modern Mathematics, Wiley, New York; 1964.
피인용 문헌
- -Complete Convex Modular Algebras vol.2018, pp.2314-8888, 2018, https://doi.org/10.1155/2018/3613178