TY - JOUR AU - Katsaras, A. K. PY - 1984 DA - 1984// TI - Fuzzy topological vector spaces. II JO - Fuzzy Sets and Systems VL - 12 UR - https://doi.org/10.1016/0165-0114(84)90034-4 DO - 10.1016/0165-0114(84)90034-4 ID - Katsaras1984 ER - TY - JOUR AU - Felbin, C. PY - 1992 DA - 1992// TI - Finite-dimensional fuzzy normed linear space JO - Fuzzy Sets and Systems VL - 48 UR - https://doi.org/10.1016/0165-0114(92)90338-5 DO - 10.1016/0165-0114(92)90338-5 ID - Felbin1992 ER - TY - JOUR AU - Krishna, S. V. AU - Sarma, K. K. M. PY - 1994 DA - 1994// TI - Separation of fuzzy normed linear spaces JO - Fuzzy Sets and Systems VL - 63 UR - https://doi.org/10.1016/0165-0114(94)90351-4 DO - 10.1016/0165-0114(94)90351-4 ID - Krishna1994 ER - TY - JOUR AU - Xiao, J. AU - Zhu, X. PY - 2003 DA - 2003// TI - Fuzzy normed space of operators and its completeness JO - Fuzzy Sets and Systems VL - 133 UR - https://doi.org/10.1016/S0165-0114(02)00274-9 DO - 10.1016/S0165-0114(02)00274-9 ID - Xiao2003 ER - TY - JOUR AU - Bag, T. AU - Samanta, S. K. PY - 2003 DA - 2003// TI - Finite dimensional fuzzy normed linear spaces JO - Journal of Fuzzy Mathematics VL - 11 ID - Bag2003 ER - TY - JOUR AU - Cheng, S. C. AU - Mordeson, J. N. PY - 1994 DA - 1994// TI - Fuzzy linear operators and fuzzy normed linear spaces JO - Bulletin of the Calcutta Mathematical Society VL - 86 ID - Cheng1994 ER - TY - JOUR AU - Kramosil, I. AU - Michálek, J. PY - 1975 DA - 1975// TI - Fuzzy metrics and statistical metric spaces JO - Kybernetika VL - 11 ID - Kramosil1975 ER - TY - JOUR AU - Bag, T. AU - Samanta, S. K. PY - 2005 DA - 2005// TI - Fuzzy bounded linear operators JO - Fuzzy Sets and Systems VL - 151 UR - https://doi.org/10.1016/j.fss.2004.05.004 DO - 10.1016/j.fss.2004.05.004 ID - Bag2005 ER - TY - JOUR AU - Mirmostafaee, A. K. AU - Mirzavaziri, M. AU - Moslehian, M. S. PY - 2008 DA - 2008// TI - Fuzzy stability of the Jensen functional equation JO - Fuzzy Sets and Systems VL - 159 UR - https://doi.org/10.1016/j.fss.2007.07.011 DO - 10.1016/j.fss.2007.07.011 ID - Mirmostafaee2008 ER - TY - JOUR AU - Mirmostafaee, A. K. AU - Moslehian, M. S. PY - 2008 DA - 2008// TI - Fuzzy versions of Hyers-Ulam-Rassias theorem JO - Fuzzy Sets and Systems VL - 159 UR - https://doi.org/10.1016/j.fss.2007.09.016 DO - 10.1016/j.fss.2007.09.016 ID - Mirmostafaee2008 ER - TY - JOUR AU - Mirmostafaee, A. K. AU - Moslehian, M. S. PY - 2008 DA - 2008// TI - Fuzzy approximately cubic mappings JO - Information Sciences VL - 178 UR - https://doi.org/10.1016/j.ins.2008.05.032 DO - 10.1016/j.ins.2008.05.032 ID - Mirmostafaee2008 ER - TY - BOOK AU - Ulam, S. M. PY - 1960 DA - 1960// TI - A Collection of Mathematical Problems, Interscience Tracts in Pure and Applied Mathematics, no. 8 PB - Interscience CY - New York, NY, USA ID - Ulam1960 ER - TY - JOUR AU - Hyers, D. H. PY - 1941 DA - 1941// TI - On the stability of the linear functional equation JO - Proceedings of the National Academy of Sciences of the United States of America VL - 27 UR - https://doi.org/10.1073/pnas.27.4.222 DO - 10.1073/pnas.27.4.222 ID - Hyers1941 ER - TY - JOUR AU - Aoki, T. PY - 1950 DA - 1950// TI - On the stability of the linear transformation in Banach spaces JO - Journal of the Mathematical Society of Japan VL - 2 UR - https://doi.org/10.2969/jmsj/00210064 DO - 10.2969/jmsj/00210064 ID - Aoki1950 ER - TY - JOUR AU - Rassias, T. h. M. PY - 1978 DA - 1978// TI - On the stability of the linear mapping in Banach spaces JO - Proceedings of the American Mathematical Society VL - 72 UR - https://doi.org/10.1090/S0002-9939-1978-0507327-1 DO - 10.1090/S0002-9939-1978-0507327-1 ID - Rassias1978 ER - TY - JOUR AU - Gavruta, P. PY - 1994 DA - 1994// TI - A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings JO - Journal of Mathematical Analysis and Applications VL - 184 UR - https://doi.org/10.1006/jmaa.1994.1211 DO - 10.1006/jmaa.1994.1211 ID - Gavruta1994 ER - TY - JOUR AU - Skof, F. PY - 1983 DA - 1983// TI - Proprieta' locali e approssimazione di operatori JO - Rendiconti del Seminario Matematico e Fisico di Milano VL - 53 UR - https://doi.org/10.1007/BF02924890 DO - 10.1007/BF02924890 ID - Skof1983 ER - TY - JOUR AU - Cholewa, P. W. PY - 1984 DA - 1984// TI - Remarks on the stability of functional equations JO - Aequationes Mathematicae VL - 27 UR - https://doi.org/10.1007/BF02192660 DO - 10.1007/BF02192660 ID - Cholewa1984 ER - TY - JOUR AU - Czerwik, S. t. PY - 1992 DA - 1992// TI - On the stability of the quadratic mapping in normed spaces JO - Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg VL - 62 UR - https://doi.org/10.1007/BF02941618 DO - 10.1007/BF02941618 ID - Czerwik1992 ER - TY - JOUR AU - Jun, K. -. W. AU - Kim, H. -. M. PY - 2002 DA - 2002// TI - The generalized Hyers-Ulam-Rassias stability of a cubic functional equation JO - Journal of Mathematical Analysis and Applications VL - 274 UR - https://doi.org/10.1016/S0022-247X(02)00415-8 DO - 10.1016/S0022-247X(02)00415-8 ID - Jun2002 ER - TY - JOUR AU - Lee, S. H. AU - Im, S. M. AU - Hwang, I. S. PY - 2005 DA - 2005// TI - Quartic functional equations JO - Journal of Mathematical Analysis and Applications VL - 307 UR - https://doi.org/10.1016/j.jmaa.2004.12.062 DO - 10.1016/j.jmaa.2004.12.062 ID - Lee2005 ER - TY - JOUR AU - Chung, J. K. AU - Sahoo, P. K. PY - 2003 DA - 2003// TI - On the general solution of a quartic functional equation JO - Bulletin of the Korean Mathematical Society VL - 40 UR - https://doi.org/10.4134/BKMS.2003.40.4.565 DO - 10.4134/BKMS.2003.40.4.565 ID - Chung2003 ER - TY - JOUR AU - Rassias, J. M. PY - 1999 DA - 1999// TI - Solution of the Ulam stability problem for quartic mappings JO - Glasnik Matematicki VL - 34(54) ID - Rassias1999 ER - TY - JOUR AU - Agarwal, R. P. AU - Xu, B. AU - Zhang, W. PY - 2003 DA - 2003// TI - Stability of functional equations in single variable JO - Journal of Mathematical Analysis and Applications VL - 288 UR - https://doi.org/10.1016/j.jmaa.2003.09.032 DO - 10.1016/j.jmaa.2003.09.032 ID - Agarwal2003 ER - TY - JOUR AU - Forti, G. L. PY - 1995 DA - 1995// TI - Hyers-Ulam stability of functional equations in several variables JO - Aequationes Mathematicae VL - 50 UR - https://doi.org/10.1007/BF01831117 DO - 10.1007/BF01831117 ID - Forti1995 ER - TY - BOOK AU - Czerwik, S. PY - 2002 DA - 2002// TI - Functional Equations and Inequalities in Several Variables PB - World Scientific CY - River Edge, NJ, USA UR - https://doi.org/10.1142/4875 DO - 10.1142/4875 ID - Czerwik2002 ER - TY - BOOK AU - Hyers, D. H. AU - Isac, G. AU - Rassias, T. h. M. PY - 1998 DA - 1998// TI - Stability of Functional Equations in Several Variables, Progress in Nonlinear Differential Equations and Their Applications, 34 PB - Birkhäuser CY - Boston, Mass, USA UR - https://doi.org/10.1007/978-1-4612-1790-9 DO - 10.1007/978-1-4612-1790-9 ID - Hyers1998 ER - TY - BOOK AU - Jung, S. -. M. PY - 2001 DA - 2001// TI - Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis PB - Hadronic Press CY - Palm Harbor, Fla, USA ID - Jung2001 ER - TY - CHAP AU - Park, C. AU - Cui, J. PY - 2007 DA - 2007// TI - Generalized stability of -ternary quadratic mappings BT - Abstract and Applied Analysis ID - Park2007 ER - TY - CHAP AU - Park, C. AU - Najati, A. PY - 2007 DA - 2007// TI - Homomorphisms and derivations in -algebras BT - Abstract and Applied Analysis ID - Park2007 ER - TY - JOUR AU - Rassias, T. h. M. PY - 2000 DA - 2000// TI - On the stability of functional equations in Banach spaces JO - Journal of Mathematical Analysis and Applications VL - 251 UR - https://doi.org/10.1006/jmaa.2000.7046 DO - 10.1006/jmaa.2000.7046 ID - Rassias2000 ER - TY - JOUR AU - Rassias, T. h. M. PY - 2000 DA - 2000// TI - On the stability of functional equations and a problem of Ulam JO - Acta Applicandae Mathematicae VL - 62 UR - https://doi.org/10.1023/A:1006499223572 DO - 10.1023/A:1006499223572 ID - Rassias2000 ER - TY - JOUR AU - Rassias, T. h. M. AU - Šemrl, P. PY - 1992 DA - 1992// TI - On the behavior of mappings which do not satisfy Hyers-Ulam stability JO - Proceedings of the American Mathematical Society VL - 114 UR - https://doi.org/10.1090/S0002-9939-1992-1059634-1 DO - 10.1090/S0002-9939-1992-1059634-1 ID - Rassias1992 ER - TY - JOUR AU - Gilányi, A. PY - 2001 DA - 2001// TI - Eine zur Parallelogrammgleichung äquivalente Ungleichung JO - Aequationes Mathematicae VL - 62 UR - https://doi.org/10.1007/PL00000156 DO - 10.1007/PL00000156 ID - Gilányi2001 ER - TY - JOUR AU - Rätz, J. PY - 2003 DA - 2003// TI - On inequalities associated with the Jordan-von Neumann functional equation JO - Aequationes Mathematicae VL - 66 UR - https://doi.org/10.1007/s00010-003-2684-8 DO - 10.1007/s00010-003-2684-8 ID - Rätz2003 ER - TY - JOUR AU - Fechner, W. PY - 2006 DA - 2006// TI - Stability of a functional inequality associated with the Jordan-von Neumann functional equation JO - Aequationes Mathematicae VL - 71 UR - https://doi.org/10.1007/s00010-005-2775-9 DO - 10.1007/s00010-005-2775-9 ID - Fechner2006 ER - TY - JOUR AU - Gilányi, A. PY - 2002 DA - 2002// TI - On a problem by K. Nikodem JO - Mathematical Inequalities & Applications VL - 5 UR - https://doi.org/10.7153/mia-05-71 DO - 10.7153/mia-05-71 ID - Gilányi2002 ER - TY - CHAP AU - Park, C. AU - Cho, Y. S. AU - Han, M. -. H. PY - 2007 DA - 2007// TI - Functional inequalities associated with Jordan-von Neumann-type additive functional equations BT - Journal of Inequalities and Applications ID - Park2007 ER - TY - STD TI - Cadariu L, Radu V: Fixed points and the stability of Jensen's functional equation.Journal of Inequalities in Pure and Applied Mathematics 2003.,4(1, article 4): ID - ref39 ER - TY - JOUR AU - Diaz, J. B. AU - Margolis, B. PY - 1968 DA - 1968// TI - A fixed point theorem of the alternative, for contractions on a generalized complete metric space JO - Bulletin of the American Mathematical Society VL - 74 UR - https://doi.org/10.1090/S0002-9904-1968-11933-0 DO - 10.1090/S0002-9904-1968-11933-0 ID - Diaz1968 ER - TY - JOUR AU - Isac, G. AU - Rassias, T. h. M. PY - 1996 DA - 1996// TI - Stability of -additive mappings: applications to nonlinear analysis JO - International Journal of Mathematics and Mathematical Sciences VL - 19 UR - https://doi.org/10.1155/S0161171296000324 DO - 10.1155/S0161171296000324 ID - Isac1996 ER - TY - CHAP AU - Cadariu, L. AU - Radu, V. PY - 2004 DA - 2004// TI - On the stability of the Cauchy functional equation: a fixed point approach BT - Iteration Theory, Grazer Mathematische Berichte PB - Karl-Franzens-Universität Graz CY - Graz, Austria ID - Cadariu2004 ER - TY - CHAP AU - Cadariu, L. AU - Radu, V. PY - 2008 DA - 2008// TI - Fixed point methods for the generalized stability of functional equations in a single variable BT - Fixed Point Theory and Applications ID - Cadariu2008 ER - TY - JOUR AU - Mirzavaziri, M. AU - Moslehian, M. S. PY - 2006 DA - 2006// TI - A fixed point approach to stability of a quadratic equation JO - Bulletin of the Brazilian Mathematical Society VL - 37 UR - https://doi.org/10.1007/s00574-006-0016-z DO - 10.1007/s00574-006-0016-z ID - Mirzavaziri2006 ER - TY - CHAP AU - Park, C. PY - 2007 DA - 2007// TI - Fixed points and Hyers-Ulam-Rassias stability of Cauchy-Jensen functional equations in Banach algebras BT - Fixed Point Theory and Applications ID - Park2007 ER - TY - CHAP AU - Park, C. PY - 2008 DA - 2008// TI - Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach BT - Fixed Point Theory and Applications ID - Park2008 ER - TY - JOUR AU - Radu, V. PY - 2003 DA - 2003// TI - The fixed point alternative and the stability of functional equations JO - Fixed Point Theory VL - 4 ID - Radu2003 ER - TY - CHAP AU - Alsina, C. PY - 1987 DA - 1987// TI - On the stability of a functional equation arising in probabilistic normed spaces BT - General Inequalities, 5 (Oberwolfach, 1986), Internationale Schriftenreihe zur Numerischen Mathematik PB - Birkhäuser CY - Basel, Switzerland ID - Alsina1987 ER - TY - JOUR AU - Mihet, D. AU - Radu, V. PY - 2008 DA - 2008// TI - On the stability of the additive Cauchy functional equation in random normed spaces JO - Journal of Mathematical Analysis and Applications VL - 343 UR - https://doi.org/10.1016/j.jmaa.2008.01.100 DO - 10.1016/j.jmaa.2008.01.100 ID - Mihet2008 ER - TY - STD TI - Mihet D, Saadati R, Vaezpour SM: The stability of the quartic functional equation in random normed spaces. to appear in Acta Applicandae Mathematicae to appear in Acta Applicandae Mathematicae ID - ref50 ER - TY - STD TI - Mihet D, Saadati R, Vaezpour SM: The stability of an additive functional equation in Menger probabilistic -normed spaces.Mathematica Slovaca. In press Mathematica Slovaca. In press ID - ref51 ER - TY - CHAP AU - Saadati, R. AU - Vaezpour, S. M. AU - Cho, Y. J. PY - 2009 DA - 2009// TI - Erratum: a note to paper "On the stability of cubic mappings and quadratic mappings in random normed spaces" BT - Journal of Inequalities and Applications ID - Saadati2009 ER - TY - STD TI - Park C, Cho J, Saadati R: Fuzzy stability of functional inequalities. preprint preprint ID - ref53 ER -