1 |
J. Aczel & J. Dhombres: Functional Equations in Several Variables. Cambridge Univ. Press, Cambridge, 1989.
|
2 |
T. Aoki: On the stability of the linear transformation in Banach spaces. J. Math. Soc. Japan 2 (1950), 64-66.
DOI
|
3 |
D.G. Bourgin: Classes of transformations and bordering transformations. Bull. Amer. Math. Soc. 57 (1951), 223-237.
DOI
|
4 |
L. Cădariu & V. Radu: Fixed points and the stability of Jensen’s functional equation. J. Inequal. Pure Appl. Math. 4, no. 1, Art. ID 4 (2003).
|
5 |
L. Cădariu & V. Radu: On the stability of the Cauchy functional equation: a fixed point approach. Grazer Math. Ber. 346 (2004), 43-52.
|
6 |
L. Cădariu & V. Radu: Fixed point methods for the generalized stability of functional equations in a single variable. Fixed Point Theory and Applications 2008, Art. ID 749392 (2008).
|
7 |
Y. Cho, C. Park & R. Saadati: Functional inequalities in non-Archimedean Banach spaces. Appl. Math. Letters 23 (2010), 1238-1242.
DOI
|
8 |
P.W. Cholewa: Remarks on the stability of functional equations. Aequationes Math. 27 (1984), 76-86.
DOI
|
9 |
C.-Y. Chou & J.-H. Tzeng: On approximate isomorphisms between Banach *-algebrasor C∗-algebras. Taiwanese J. Math. 10 (2006), 219-231.
DOI
|
10 |
S. Czerwik: On the stability of the quadratic mapping in normed spaces. Abh. Math. Sem. Univ. Hamburg 62 (1992), 59-64.
DOI
|
11 |
M. Eshaghi Gordji, S. Kaboli-Gharetapeh, C. Park & S. Zolfaghri: Stability of an additive-cubic-quartic functional equation. Advances in Difference Equations 2009, Article ID 395693 (2009).
|
12 |
P. Czerwik: Functional Equations and Inequalities in Several Variables. World Scientific Publishing Company, New Jersey, Hong Kong, Singapore and London, 2002.
|
13 |
J. Diaz & B. Margolis: A fixed point theorem of the alternative for contractions on a generalized complete metric space. Bull. Amer. Math. Soc. 74 (1968), 305-309.
DOI
|
14 |
M. Eshaghi Gordji, S. Abbaszadeh & C. Park: On the stability of a generalized quadratic and quartic type functional equation in quasi-Banach spaces. J. Inequal. Appl. 2009, Article ID 153084 (2009).
|
15 |
G.L. Forti: Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations. J. Math. Anal. Appl. 295 (2004), 127-133.
DOI
|
16 |
G.L. Forti: Elementary remarks on Ulam-Hyers stability of linear functional equations. J. Math. Anal. Appl. 328 (2007), 109-118.
DOI
|
17 |
P. Găvruta: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings. J. Math. Anal. Appl. 184 (1994), 431-436.
DOI
|
18 |
G. Isac & Th.M. Rassias: Stability of ψ-additive mappings: Appications to nonlinear analysis. Internat. J. Math. Math. Sci. 19 (1996), 219-228.
DOI
|
19 |
D.H. Hyers: On the stability of the linear functional equation. Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 222-224.
DOI
|
20 |
D.H. Hyers, G. Isac & Th.M. Rassias: Stability of Functional Equations in Several Variables. Birkhӓuser, Basel, 1998.
|
21 |
J. Lee, J. Kim & C. Park: A fixed point approach to the stability of an additive-quadratic-cubic-quartic functional equation. Fixed Point Theory and Applications 2010, Art. ID 185780 (2010).
|
22 |
K. Jun & H. Kim: The generalized Hyers-Ulam-Rassias stability of a cubic functional equation. J. Math. Anal. Appl. 274 (2002), 867-878.
DOI
|
23 |
K. Jun & H. Kim: Approximate derivations mapping into the radicals of Banach algebras. Taiwanese J. Math. 11 (2007), 277-288.
DOI
|
24 |
S. Jung: Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis. Hadronic Press lnc., Palm Harbor, Florida, 2001.
|
25 |
S. Lee, S. Im & I. Hwang: Quartic functional equations. J. Math. Anal. Appl. 307 (2005), 387-394.
DOI
|
26 |
D. Mihet¸ & V. Radu: On the stability of the additive Cauchy functional equation in random normed spaces. J. Math. Anal. Appl. 343 (2008), 567-572.
DOI
|
27 |
M. Mirzavaziri & M.S. Moslehian: A fixed point approach to stability of a quadratic equation. Bull. Braz. Math. Soc. 37 (2006), 361-376.
DOI
|
28 |
M.S. Moslehian & H.M. Srivastava: Jensen’s functional equations in multi-normed spaces. Taiwanese J. Math. 14 (2010), 453-462.
DOI
|
29 |
C. Park: Linear functional equations in Banach modules over a C∗-algebra. Acta Appl. Math. 77 (2003), 125-161
DOI
|
30 |
Z. Mustafa & B. Sims: A new approach to generalized metric spaces. J. Nonlinear Convex Anal. 7 (2006), 289-297.
|
31 |
C. Park: Fixed points and Hyers-Ulam-Rassias stability of Cauchy-Jensen functional equations in Banach algebras. Fixed Point Theory and Applications 2007, Art. ID 50175 (2007).
|
32 |
C. Park & Th.M. Rassias: Hyers-Ulam stability of functional equations in G-normed spaces. (preprint).
|
33 |
C. Park: Generalized Hyers-Ulam-Rassias stability of quadratic functional equations: a fixed point approach. Fixed Point Theory and Applications 2008, Art. ID 493751 (2008).
|
34 |
C. Park: Fixed points and the stability of an AQCQ-functional equation in non-Archimedean normed spaces. Abstract and Applied Analysis 2010, Art. ID 849543 (2010).
|
35 |
C. Park, S. Jo & D. Kho: On the stability of an additive-quadratic-cubic-quartic functional equation. J. Chungcheong Math. Soc. 22 (2009), 757-770.
|
36 |
V. Radu: The fixed point alternative and the stability of functional equations. Fixed Point Theory 4 (2003), 91-96.
|
37 |
Th.M. Rassias: On the stability of the linear mapping in Banach spaces. Proc. Amer. Math. Soc. 72 (1978), 297-300.
DOI
|
38 |
Th.M. Rassias: On the stability of functional equations in Banach spaces. J. Math. Anal. Appl. 251 (2000), 264-284.
DOI
|
39 |
Th.M. Rassias: On the stability of functional equations and a problem of Ulam. Acta Appl. Math. 62 (2000), 23-130.
DOI
|
40 |
Th.M. Rassias & P. Šemrl: On the behaviour of mappings which do not satisfy Hyers-Ulam stability. Proc. Amer. Math. Soc. 114 (1992), 989-993.
DOI
|
41 |
Th.M. Rassias & P. Šemrl: On the Hyers-Ulam stability of linear mappings. J. Math. Anal. Appl. 173 (1993), 325-338.
DOI
|
42 |
R. Saadati & C. Park: Non-Archimedean 𝓛-fuzzy normed spaces and stability of functional equations. Computers Math. Appl. 60 (2010), 2488-2496.
DOI
|
43 |
F. Skof: Proprietà locali e approssimazione di operatori. Rend. Sem. Mat. Fis. Milano 53 (1983), 113-129.
DOI
|
44 |
S.M. Ulam: A Collection of the Mathematical Problems. Interscience Publ., New York, 1960.
|