1 |
T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan 2 (1950) 64-66.
DOI
|
2 |
J.-H. Bae and W.-G. Park, On the generalized Hyers-Ulam-Rassias stability in Banach modules over a -algebra, J. Math. Anal. Appl. 294 (2004), 196-205.
DOI
|
3 |
Y. Benyamini and J. Lindenstrauss, Geometric Nonlinear Functional Analysis, vol. 1, Colloq. Publ., vol. 48, Amer. Math. Soc., Providence, (2000).
|
4 |
P. W. Cholewa, Remarks on the stability of functional equations, Aequationes. Math. 27 (1984), 76-86.
DOI
|
5 |
S. Czerwik, On the stability of the quadratic mapping in normed spaces, Abh. Math. Sem. Univ. Hamburg 62 (1992), 59-64.
DOI
|
6 |
Z. Gajda, On the stability of additive mappings, Internat. J. Math. Math. Sci., 14 (1991), 431-434.
DOI
|
7 |
P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 184 (1994), 431-436.
DOI
|
8 |
D. H. Hyers, On the stability of the linear equation, Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 222-224.
DOI
|
9 |
J. K. Chung and P. K. Sahoo, On the general solution of a quartic functional equation, Bulletin of the Korean Mathematical Society, 40 (4) (2003), 565-576.
DOI
|
10 |
R. Ger, Tatra Mt. Math. Publ. 55 (2013), 67-75.
|
11 |
S.M. Jung, A Fixed Point Approach to the Stability of the Equation f(x + y)= , The Australian Journal of Math. Anal. and Appl. Vol. 6 (1) (2009), 1-6
|
12 |
Y.-S. Jung and I.-S. Chang, The stability of a cubic type functional equation with the fixed point alternative, J. Math. Anal. Appl. (2005), 264-284.
|
13 |
K.-W. Jun and H.-M. Kim, On the stability of Euler-Lagrange type cubic functional equations in quasi-Banach spaces, J. Math. Anal. Appl. 332 (2007), 1335-1350.
DOI
|
14 |
K. Jun and H. Kim, Solution of Ulam stability problem for approximately biquadratic mappings and functional inequalities, J. Inequal. Appl. 10 (4) (2007), 895-908
|
15 |
Y.-S. Lee and S.-Y. Chung, Stability of quartic functional equations in the spaces of generalized functions, Adv. Diff. Equa. (2009), 2009: 838347
DOI
|
16 |
R. Kadisona and G. Pedersen, Means and convex combinations of unitary operators, Math. Scand. 57 (1985), 249-266.
DOI
|
17 |
H.-M. Kim,On the stability problem for a mixed type of quartic and quadratic functional equation, J. Math. Anal. Appl. 324 (2006), 358-372.
DOI
|
18 |
D. Kang and H.B. Kim, On the stability of reciprocal-negative Fermat's Equations in quasi- -normed spaces, preprint
|
19 |
B. Margolis and J.B. Diaz, A fixed point theorem of the alternative for contractions on a generalized complete metric space, Bull. Amer. Math. Soc. 126, 74 (1968), 305-309.
DOI
|
20 |
P. Narasimman, K. Ravi and Sandra Pinelas, Stability of Pythagorean Mean Functional Equation, Global Journal of Mathematics 4 (1) (2015), 398-411
|
21 |
Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.
DOI
|
22 |
J. M. Rassias, Solution of the Ulam stability problem for quartic mappings, Glasnik Matematicki Series III, 34 (2) (1999) 243-252.
|
23 |
Th. M. Rassias, On the stability of functional equations in Banach spaces, J. Math. Anal. Appl. 251 (2000), 264-284.
DOI
|
24 |
Th. M. Rassias, P. Semrl On the Hyers-Ulam stability of linear mappings, J. Math. Anal. Appl. 173 (1993), 325-338.
DOI
|
25 |
Th. M. Rassias, K. Shibata, Variational problem of some quadratic functions in complex analysis, J. Math. Anal. Appl. 228 (1998), 234-253.
DOI
|
26 |
J. M. Rassias, On the stability of the Euler-Lagrange functional equation, Chinese J. Math. 20 (1992) 185-190.
|
27 |
J. M. Rassias, H.-M. Kim Generalized Hyers.Ulam stability for general additive functional equations in quasi- -normed spaces, J. Math. Anal. Appl. 356 (2009), 302-309.
DOI
|
28 |
K. Ravi and B.V. Senthil Kumar Ulam-Gavruta-Rassias stability of Rassias Reciprocal functional equation, Global Journal of App. Math. and Math. Sci. 3(1-2), Jan-Dec 2010, 57-79.
|
29 |
S. Rolewicz, Metric Linear Spaces, Reidel/PWN-Polish Sci. Publ., Dordrecht, (1984).
|
30 |
I.A. Rus, Principles and Appications of Fixed Point Theory, Ed. Dacia, Cluj-Napoca, 1979 (in Romanian).
|
31 |
F. Skof, Proprieta locali e approssimazione di operatori, Rend. Semin. Mat. Fis. Milano 53 (1983) 113-129.
DOI
|
32 |
S. M. Ulam, Problems in Morden Mathematics, Wiley, New York (1960).
|