1 |
D. Wolna, The stability of monomial functions on a restricted domain, Aequationes
Math. 72 (2006), no. 1-2, 100–109.
DOI
|
2 |
A. Gilanyi, On the stability of monomial functional equations, Publ. Math. Debrecen 56
(2000), no. 1-2, 201–212.
|
3 |
D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci.
USA 27 (1941), 222–224.
DOI
ScienceOn
|
4 |
D. H. Hyers, Transformations with bounded mth differences, Pacific J. Math. 11 (1961),
591–602.
DOI
|
5 |
S.-M. Jung, T.-S. Kim, and K.-S. Lee, A fixed point approach to the stability of quadratic
functional equation, Bull. Korean Math. Soc. 43 (2006), no. 3, 531–541.
과학기술학회마을
DOI
ScienceOn
|
6 |
Z. Kaiser, On stability of the monomial functional equation in normed spaces over fields
with valuation, J. Math. Anal. Appl. 322 (2006), no. 2, 1188–1198.
DOI
ScienceOn
|
7 |
Y.-H. Lee, On the stability of the monomial functional equation, Bull. Korean Math.
Soc. 45 (2008), no. 2, 397–403.
과학기술학회마을
DOI
ScienceOn
|
8 |
V. Radu, The fixed point alternative and the stability of functional equations, Fixed
Point Theory 4 (2003), no. 1, 91–96.
|
9 |
J. M. Rassias, Alternative contraction principle and Ulam stability problem, Math. Sci.
Res. J. 9 (2005), no. 7, 190–199.
|
10 |
Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer.
Math. Soc. 72 (1978), no. 2, 297–300.
DOI
ScienceOn
|
11 |
S. M. Ulam, Problems in Modern Mathematics, Science Editions John Wiley & Sons,
Inc., New York 1964.
|
12 |
M. Albert and J. A. Baker, Functions with bounded nth differences, Ann. Polon. Math.
43 (1983), no. 1, 93–103.
DOI
|
13 |
T. Aoki, Locally bounded linear topological spaces, Proc. Imp. Acad. Tokyo 18 (1942),
588–594.
DOI
|
14 |
T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc.
Japan 2 (1950), 64–66.
DOI
|
15 |
Y. Benyamini and J. Lindenstrauss, Geometric Nonlinear Functional Analysis. Vol. 1,
American Mathematical Society Colloquium Publications, 48. American Mathematical
Society, Providence, RI, 2000.
|
16 |
D. G. Bourgin, Classes of transformations and bordering transformations, Bull. Amer.
Math. Soc. 57 (1951), 223–237.
DOI
|
17 |
A. Gilanyi, Hyers-Ulam stability of monomial functional equations on a general domain,
Proc. Natl. Acad. Sci. USA 96 (1999), no. 19, 10588–10590.
DOI
ScienceOn
|
18 |
L. Cadariu and V. Radu, Remarks on the stability of monomial functional equations,
Fixed Point Theory 8 (2007), no. 2, 201–218.
|
19 |
J. B. Diaz and 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
|