1 |
A. Bodaghi, C. Park, and J. M. Rassias, Fundamental stabilities of the nonic functional equation in intuitionistic fuzzy normed spaces, Commun. Korean Math. Soc. 31 (2016), 729-743.
DOI
|
2 |
S. Czerwik, On the stability of the quadratic mapping in normed spaces, Abh. Math. Sem. Univ. Hamburg, 62 (1992), 59-64.
DOI
|
3 |
H. G. Dales and M. Sal Moslehian, Stability of mappings on multi-normed spaces, Glas. Math. J. 49 (2007), 321-332.
DOI
|
4 |
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
|
5 |
Z. Gajda, On stability of additive mappings, Int. J. Math. Sci. 14 (1991), 431-434.
DOI
|
6 |
P. Gavruta,A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, J. Math. Anal. Appl. 184 (1994), 431-436.
DOI
|
7 |
M. E. Gordji, tability of a functional equation deriving from quartic and additive functions, Bull. Korean Math. Soc. 47 (2010), 491-502.
DOI
|
8 |
D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. USA, 27 (1941), 222-224.
DOI
|
9 |
K. W. Jun and H. M. Kim, The generalized Hyers-Ulam-Russias stability of a cubic functional equation, J. Math. Anal. Appl. 274 (2002), 867-878.
DOI
|
10 |
D. Mihet and V. Radu, On the stability of the additive Cauchy functional equation in random normed spaces, J. Math. Anal. Appl. 343 (2008), 567-572.
DOI
|
11 |
P. Narasimman and A. Bodaghi, Solution and stability of a mixed type functional equation, Filomat, 31 (2017), 1229-1239.
DOI
|
12 |
J. M. Rassias, Solution of the Ulam stability problem for quartic mappings, Glasnik Matematicki Series III, 34 (1999) 243-252.
|
13 |
J. M. Rassias, Solution of the Ulam stability problem for cubic mappings, Glas. Mat. Ser. III, 36 (2001), no. 56, 63-72.
|
14 |
J. M. Rassias, M. Arunkumar, E. Sathya, and T. Namachivayam, Various generalized Ulam-Hyers Stabilities of a nonic functional equations, Tbilisi Math. J. 9 (2016), 159-196.
|
15 |
J. M. Rassias and M. Eslamian, Fixed points and stability of nonic functional equation in quasi- -normed spaces, Cont. Anal. Appl. Math. 3 (2015), 293-309.
|
16 |
Th. M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.
DOI
|
17 |
K. Ravi, J. M. Rassias, and B. V. Senthil Kumar, Ulam-Hyers stability of undecic functional equation in quasi-beta normed spaces fixed point method, Tbilisi Math. Sci. 9 (2016), 83-103.
|
18 |
K. Ravi, J. M. Rassias, S. Pinelas, and S. Suresh, General solution and stability of quattuordecic functional equation in quasi beta-normed spaces, Adv. Pure Math. 6 (2016), 921-941.
DOI
|
19 |
F. Skof, Propriet localie approssimazione di operatori, Rend. Sem. Mat. Fis. Milano, 53 (1983), 113-129.
DOI
|
20 |
M. Turinici, Sequentially iterative processes and applications to Volterra func- tional equations, Annales Univ. Mariae-Curie Sklodowska, (Sect A), 32 (1978), 127-134.
|
21 |
S. M. Ulam, A Collection of the Mathematical Problems, Interscience, New York, 1960.
|
22 |
T. Z. Xu and J. M. Rassias, Approximate septic and octic mappings in quasi- - normed spaces, J. Comput. Anal. Appl. 15 (2013), no. 6, 1110-1119.
|
23 |
A. Bodaghi, Stability of a quartic functional equation, Scientific World Journal, 2014, Article ID 752146, 9pages.
|
24 |
T. Z. Xu, J. M. Rassias, and W. X. Xu, A generalized mixed quadratic-quartic functional equation, Bulletin Malay. Math. Sci. Soc. 35 (2012), 633-649.
|
25 |
T. Z. Xu, J. M. Rassias, M. J. Rassias, and W. X. Xu, A fixed point approach to the stability of quintic and sextic functional equations in quasi- -normed spaces, J. Inequal. Appl. 2010, Article ID 423231, 23pages, doi:10.1155/2010/423231.
DOI
|
26 |
T. Aoki, On the stability of the linear transformation in Banach spaces, J. Math. Soc. Japan. 2 (1950), 64-66.
DOI
|
27 |
M. Arunkumar, A. Bodaghi, J. M. Rassias, and E. Sathiya, The general solution and approximations of a decic type functional equation in various normed spaces, J. Chungcheong Math. Soc. 29 (2016), 287-328.
DOI
|
28 |
A. Bodaghi, Stability of a mixed type additive and quartic function equation, Filomat, 28 (2014), no. 8, 1629-1640.
DOI
|
29 |
A. Bodaghi, Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations, J. Intel. Fuzzy Syst. 30 (2016), 2309-2317.
DOI
|
30 |
A. Bodaghi, Approximate mixed type additive and quartic functional equation, Bol. Soc. Paran. Mat. 35 (2017), 43-56.
DOI
|
31 |
A. Bodaghi, D. Kang, and J. M. Rassias, The mixed cubic-quartic functional equation, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), LXIII (2017), 215-227.
|
32 |
A. Bodaghi and S. O. Kim, Ulam's type stability of a functional equation deriving from quadratic and additive functions, J. Math. Ineq. 9 (2015), 73-84.
|
33 |
A. Bodaghi, S. M. Moosavi, and H. Rahimi, The generalized cubic functional equation and the stability of cubic Jordan ∗-derivations, Ann. Univ. Ferrara, 59 (2013), 235-50.
DOI
|
34 |
A. Bodaghi and P. Narasimman, Stability of the general form of quadratic-quartic functional equations in non-Archimedean L-fuzzy normed spaces, Tbilisi Math. J. 11 (2018), no. 1, 15-29.
|