TY - BOOK AU - Ulam, S. M. PY - 1960 DA - 1960// TI - A Collection of the Mathematical Problems 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 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 - Bourgin, D. G. PY - 1951 DA - 1951// TI - Classes of transformations and bordering transformations JO - Bulletin of the American Mathematical Society VL - 57 UR - https://doi.org/10.1090/S0002-9904-1951-09511-7 DO - 10.1090/S0002-9904-1951-09511-7 ID - Bourgin1951 ER - TY - JOUR AU - Forti, G. L. PY - 1980 DA - 1980// TI - An existence and stability theorem for a class of functional equations JO - Stochastica VL - 4 UR - https://doi.org/10.1080/17442508008833155 DO - 10.1080/17442508008833155 ID - Forti1980 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 - 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 - 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. 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 - Faiziev, V. A. AU - Rassias, T. h. M. AU - Sahoo, P. K. PY - 2002 DA - 2002// TI - The space of -additive mappings on semigroups JO - Transactions of the American Mathematical Society VL - 354 UR - https://doi.org/10.1090/S0002-9947-02-03036-2 DO - 10.1090/S0002-9947-02-03036-2 ID - Faiziev2002 ER - TY - JOUR AU - Grabiec, A. PY - 1996 DA - 1996// TI - The generalized Hyers-Ulam stability of a class of functional equations JO - Publicationes Mathematicae Debrecen VL - 48 ID - Grabiec1996 ER - TY - JOUR AU - Hyers, D. H. AU - Rassias, T. h. M. PY - 1992 DA - 1992// TI - Approximate homomorphisms JO - Aequationes Mathematicae VL - 44 UR - https://doi.org/10.1007/BF01830975 DO - 10.1007/BF01830975 ID - Hyers1992 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 - JOUR AU - Jun, K. -. W. AU - Lee, Y. -. H. PY - 2001 DA - 2001// TI - On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality JO - Mathematical Inequalities and Applications VL - 4 UR - https://doi.org/10.7153/mia-04-08 DO - 10.7153/mia-04-08 ID - Jun2001 ER - TY - JOUR AU - Kannappan, P. l. PY - 1995 DA - 1995// TI - Quadratic functional equation and inner product spaces JO - Results in Mathematics VL - 27 UR - https://doi.org/10.1007/BF03322841 DO - 10.1007/BF03322841 ID - Kannappan1995 ER - TY - JOUR AU - Najati, A. PY - 2007 DA - 2007// TI - Hyers-Ulam stability of an n-apollonius type quadratic mapping JO - Bulletin of the Belgian Mathematical Society—Simon Stevin VL - 14 ID - Najati2007 ER - TY - JOUR AU - Najati, A. AU - Park, C. PY - 2007 DA - 2007// TI - Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation JO - Journal of Mathematical Analysis and Applications VL - 335 UR - https://doi.org/10.1016/j.jmaa.2007.02.009 DO - 10.1016/j.jmaa.2007.02.009 ID - Najati2007 ER - TY - JOUR AU - Najati, A. AU - Park, C. PY - 2008 DA - 2008// TI - The Pexiderized Apollonius-Jensen type additive mapping and isomorphisms between -algebras JO - Journal of Difference Equations and Applications VL - 14 UR - https://doi.org/10.1080/10236190701466546 DO - 10.1080/10236190701466546 ID - Najati2008 ER - TY - JOUR AU - Park, C. -. G. PY - 2002 DA - 2002// TI - On the stability of the linear mapping in Banach modules JO - Journal of Mathematical Analysis and Applications VL - 275 UR - https://doi.org/10.1016/S0022-247X(02)00386-4 DO - 10.1016/S0022-247X(02)00386-4 ID - Park2002 ER - TY - JOUR AU - Rassias, T. h. M. PY - 1991 DA - 1991// TI - On a modified Hyers-Ulam sequence JO - Journal of Mathematical Analysis and Applications VL - 158 UR - https://doi.org/10.1016/0022-247X(91)90270-A DO - 10.1016/0022-247X(91)90270-A ID - Rassias1991 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. 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 - BOOK AU - Aczél, J. AU - Dhombres, J. PY - 1989 DA - 1989// TI - Functional Equations in Several Variables PB - Cambridge University Press CY - Cambridge, UK UR - https://doi.org/10.1017/CBO9781139086578 DO - 10.1017/CBO9781139086578 ID - Aczél1989 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 PB - Birkhäuser CY - Basel, Switzerland 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. 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 - BOOK AU - Rassias, T. h. M. PY - 2003 DA - 2003// TI - Functional Equations, Inequalities and Applications PB - Kluwer Academic Publishers CY - Dordrecht, The Netherlands UR - https://doi.org/10.1007/978-94-017-0225-6 DO - 10.1007/978-94-017-0225-6 ID - Rassias2003 ER - TY - JOUR AU - Kadison, R. V. AU - Pedersen, G. PY - 1985 DA - 1985// TI - Means and convex combinations of unitary operators JO - Mathematica Scandinavica VL - 57 ID - Kadison1985 ER - TY - JOUR AU - Jung, S. -. M. O. PY - 1998 DA - 1998// TI - Hyers-ulam-rassias stability of jensen's equation and its application JO - Proceedings of the American Mathematical Society VL - 126 UR - https://doi.org/10.1090/S0002-9939-98-04680-2 DO - 10.1090/S0002-9939-98-04680-2 ID - Jung1998 ER - TY - STD TI - Jung S, Moslehian MS, Sahoo PK: Stability of a generalized Jensen equation on restricted domains.http://arxiv.org/abs/math/0511320v1 UR - http://arxiv.org/abs/math/0511320v1 ID - ref31 ER - TY - JOUR AU - Skof, F. PY - 1983 DA - 1983// TI - Sull' approssimazione delle applicazioni localmente -additive JO - Atti della Accademia delle Scienze di Torino VL - 117 ID - Skof1983 ER - TY - JOUR AU - Hyers, D. H. AU - Isac, G. AU - Rassias, T. h. M. PY - 1998 DA - 1998// TI - On the asymptoticity aspect of Hyers-Ulam stability of mappings JO - Proceedings of the American Mathematical Society VL - 126 UR - https://doi.org/10.1090/S0002-9939-98-04060-X DO - 10.1090/S0002-9939-98-04060-X ID - Hyers1998 ER - TY - CHAP AU - Skof, F. ED - Rassias, T. h. M. ED - Tabor, J. PY - 1994 DA - 1994// TI - On the stability of functional equations on a restricted domain and a related topic BT - Stabiliy of Mappings of Hyers-Ulam Type PB - Hadronic Press CY - Palm Harbor, Fla, USA ID - Skof1994 ER - TY - JOUR AU - Gajda, Z. PY - 1991 DA - 1991// TI - On stability of additive mappings JO - International Journal of Mathematics and Mathematical Sciences VL - 14 UR - https://doi.org/10.1155/S016117129100056X DO - 10.1155/S016117129100056X ID - Gajda1991 ER -