1 |
G.L. Forti, Hyers-Ulam stability of functional equations in several variables Aequationes Math., Vol. 50, (1995), No. 1-2, 143-190.
DOI
ScienceOn
|
2 |
D.H. Hyers and Th.M. Rassias, Approximate homomorphisms, Aequationes Math., Vol. 44, (1992), 125-153.
DOI
ScienceOn
|
3 |
D.H. Hyers, G. Isac and Th.M. Rassias, Stability of Functional Equations in Several Variables, Birkhauser, Basel, 1998.
|
4 |
K.-W. Jun, H.-M. Kim, On the stability of Euler-Lagrange type cubic mappings in quasiBanach spaces, J. Math. Anal. Appl., Vol. 332, (2007), No. 15(2), 1335-1350.
|
5 |
S.-M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis, Hadronic Press lnc., Palm Harbor, Florida, 2001.
|
6 |
S.-M. Jung, Z.-H. Lee, A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution, Fixed Point Theory and Applications, Volume 2008, Article ID 732086, 11 pages. doi:10.1155/2008/732086
|
7 |
B. Margolis and J. Diaz, A fixed point theorem of the alternative for contractions on a generalized complete metric space, Bull. Amer. Math. Soc., Vol. 74, (1968), 305-309.
DOI
|
8 |
M.S. Moslehian, Approximately vanishing of topological cohomology groups, J. Math. Anal. Appl., Vol. 318, (2006), No. 2, 758- 771.
DOI
ScienceOn
|
9 |
M.S. Moslehian and Gh. Sadeghi, Stability of linear mappings in quasi-Banach modules, Math. Inequal. Appl., Vol. 11, (2008), No. 3, 549557.
|
10 |
A. Najati, C. Park, Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation, J. Math. Anal. and Appl., Vol. 335, (2007), No. 15(2), 763-778.
|
11 |
A. Najati, G. Zamani Eskandani Stability of a mixed additive and cubic functional equation in quasi-Banach spaces, J. Math. Anal. Appl., Vol. 342, (2008), No. 15(2), 1318-1331.
|
12 |
S. Czerwik, On the stability of the quadratic mapping in normed spaces, Abh. Math. Sem. Univ. Hamburg, Vol. 62, (1992), 59-64.
DOI
ScienceOn
|
13 |
S. Czerwik, Stability of Functional Equations of Ulam-Hyers-Rassias Type, Hadronic Press, Palm Harbor, Florida, 2003.
|
14 |
M. Eshaghi Gordji, H. Khodaei, Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces, Nonlinear Analysis: Theory, Methods & Applications, Vol. 71 (2009), No 11-1, 5629-5643.
|
15 |
J. Michael Rassias, H.-M. Kim, Generalized HyersUlam stability for general additive functional equations in quasi--normed spaces, J. Math. Anal. Appl., Vol. 356, (2009), No. 1(1), 302-309.
DOI
|
16 |
H. Stetker, Functional equations on abelian groups with involution, Aequationes Mathematicae, Vol. 54, (1997), No. 1-2, 144-172.
DOI
|
17 |
J. Tabor, , Stability of the Cauchy functional equations in quasi-Banach spaces, Ann. Polon. Math., Vol. 50 (2004), 243-255.
|
18 |
G. Zamani Eskandani, On the Hyers-Ulam-Rassias stability of an additive functional equa- tion in quasi-Banach spaces, J. Math. Anal. Appl., Vol. 345, (2008), No. 1(1), 405-409.
DOI
|
19 |
Th.M. Rassias, On the stability of functional equations and a problem of Ulam, Acta Appl. Math., Vol. 62, (2000), No. 1, 23-130.
DOI
ScienceOn
|
20 |
Th.M. Rassias, Functional Equations, Inequalities and Applications, Kluwer Academic Publishers, Dordrecht, Boston and London, 2003.
|
21 |
J.-H. Bae, K.-W. Jun. On the generalized Hyers-Ulam-Rassias stability of a quadratic func- tional equation, Bull. Korean Math. Soc., Vol. 38 (2001), 325-336.
|
22 |
J.-H. Bae and I.-S. Chang, On the Ulam stability problem of a quadratic functional equation, Korean. J. Comput. & Appl. Math. (Series A), Vol. 8, (2001), 561-567.
|
23 |
J.-H. Bae and Y.-S. Jung, THE Hyers-Ulam stability of the quadratic functional equations on abelian groups, Bull. Korean Math. Soc. 39, Vol. (2002), No.2, 199-209.
DOI
|
24 |
B. Belaid, E. Elhoucien, and Th. M. Rassias, On the genaralized Hyers-Ulam stability of the quadratic functional equation with a general involution, Nonlinear Funct. Anal. Appl., Vol. 12, (2007), 247-262.
|
25 |
Y. Benyamini, J. Lindenstraauss, Geometric Nonlinear Analysis, Vol. 1 ,Colloq. Publ., Vol. 48, Amer. Math. Soc., Providence, 2000.
|
26 |
L. Cadariu and V. Radu, Fixed points and the stability of Jensens functional equation, J. Ineq. in Pure and Appl. Math., Vol. 4, (2003), No. 1, article 4, 7 pages.
|
27 |
J.-H. Bae, On the stability of 3-dimensional quadratic functional equations, Bull. Korean Math. Soc., Vol. 37 (2000), 477-486.
|