1 |
L. Cadariu and V. Radu, Fixed points and the stability of Jensen's functional equation, J. Inequal Pure Appl. Math., 4(1)(2003), 1-7.
|
2 |
L. Cadariu and V. Radu, On the stability of the Cauchy functional equation: a fixed point approach, Grazer Math. Ber., 346(2004), 43-52.
|
3 |
Y. Cho, R. Saadati and J. Vahidi, Approximation of homomorphisms and derivations on non-Archimedean Lie -algebras via fixed point method, Discrete Dynamics in Nature and Society 2012, Article ID373904(2012), 1-9.
|
4 |
P. Czerwik, Functional Equations and Inequalities in Several Variables, World Scientific Publishing Company, New Jersey, Hong Kong, Singapore and London, 2002.
|
5 |
J. B. Diaz and B. Margolis, A fixed point theorem of the alternative for contractions on the generalized complete metric space, Bull. Amer. Math. Soc., 126(1968), 305-309.
|
6 |
M. Eshaghi, M. B. Savadkouhi, M. Bidkham, C. Park and J. R. Lee, Nearly partial derivations on Banach ternary algebras, J. Math. Stat., 6(4)(2010), 454-461.
DOI
|
7 |
P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. and Appl., 184(1994), 431-436.
DOI
|
8 |
D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. U. S. A., 27(1941), 222-224.
DOI
|
9 |
D. H. Hyers, G. Isac and Th. M. Rassias, Stability of Functional Equations in Several Variables, Birkhauser, Basel, 1998.
|
10 |
A. Javadian, M. E. Gordji and M. B. Savadkouhi, Approximately partial ternary quadratic derivations on Banach ternary algebras, J. Nonlinear Sci. Appl., 4(1)(2011), 60-69.
DOI
|
11 |
T. Miura, G. Hirasawa and S.-E. Takahasi, A perturbation of ring derivations on Banach algebras, J. Math. Anal. Appl., 319(2006), 522-530.
DOI
|
12 |
A. K. Mirmostafaee, Hyers-Ulam stability of cubic mappings in non-Archimedean normed spaces, Kyungpook Math. J., 50(2010), 315-327.
DOI
|
13 |
M. Mirzavaziri and M. S. Moslehian, A fixed point approach to stability of a quadratic equation, Bull. Braz. Math. Soc., 37(2006), 361-376.
DOI
|
14 |
M. S. Moslehian, Hyers-Ulam-Rassias stability of generalized derivations, Int. J. Math. Sci., Article ID 93942(2006), 1-8.
|
15 |
A. Najati and M. B. Moghimi, Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces, J. Math. Anal. Appl., 337(2008), 399-415.
DOI
|
16 |
A. Najati and C. Park, Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation, J. Math. Anal. Appl., 335(2007), 763-778.
DOI
|
17 |
C. Park and T. M. Rassias, Homomorphisms in -ternary algebras and -triples, J. Math. Anal. Appl., 337(2008), 13-20.
DOI
|
18 |
C. Park, On the stability of the linear mapping in Banach modules, J. Math. Anal. Appl., 275(2002), 711-720.
DOI
|
19 |
C. Park, On an approximate automorphism on a -algebra, Proc. Amer. Math. Soc., 132(2004), 1739-1745.
DOI
|
20 |
C. Park and J. M. Rassias, Stability of the Jensen type functional equation in -algebras: a fixed point approach, Abstr. Appl. Anal., 2009, Article ID 360432(2009), 1-17.
|
21 |
Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72(1978), 297-300.
DOI
|
22 |
Th. M. Rassias, Functional Equations, Inequalities and Applications, Kluwer Academic Publishers Co., Dordrecht, Boston, London, 2003.
|
23 |
P. Semrl, The functional equation of multiplicative derivation is superstable on standard operator algebras, Integ. Equ. Oper. Theory, 18(1994), 118-122.
DOI
|
24 |
S. M. Ulam, Problems in Modern Mathematics, Chapter VI, Science ed., Wiley, New York, 1940.
|