1 |
W.A.J. Luxemburg, On the convergence of successive approximations in the theory of ordinary differential equations II. In: Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen, Amsterdam, Series A (5) Indag. Math. 61 (1958), 540-546.
|
2 |
Y.J. Cho, C. Park, T.M. Rassias, R. Saadati, Stability of Functional Equations in Banach Algebras, Springer International Publishing. Basel 2015.
|
3 |
Y.J. Cho, T.M. Rassias, R. Saadati, Stability of Functional Equations in Random Normed Spaces, Springer, New York 2013.
|
4 |
Y.J. Cho, R. Saadati, J. Vahidi, Approximation of homomorphisms and derivations on non-Archimedean Lie C*-algebras via fixed point method, Discrete Dyn. Nat. Soc. 2012.
|
5 |
Y. Lee, Stability of a generalized quadratic functional equation with jensen type, Bulletin of the Korean Mathematical Society 42 (1) (2005), 57-73.
DOI
|
6 |
Z.X. Gao, H.X. Cao, W.T. Zheng, L. Xu, Generalized Hyerss Ulams Rassias stability of functional inequalities and functional equations, J. Math. Inequal. 3 (2009), 63-67.
|
7 |
A. Batool, S. Nawaz, O. Ege, de la Sen, M. Hyers-Ulam stability of functional inequalities: A fixed point approach, Journal of Inequalities and Applications, 251 (2020), 1-18.
|
8 |
C. Castaing, M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics Springer, Berlin 1977, 580.
|
9 |
C. Baak, Cauchy-Rassias stability of Cauchy-Jensen additive mappings in Banach spaces, Acta Math. Sin. 22 (2006), 1789-1796.
DOI
|
10 |
D.H. Hyers, On the stability of the linear functional equation. Proc. Nat. Acad. Sci. (1941, 27, 222-224.
DOI
|
11 |
D. Zhang , Q. Liu, J.M. Rassias, Y., Li, The stability of functional equations with a new direct method, Mathematics. 7 (2022), 1188.
|
12 |
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
|
13 |
D. Marinescu, M. Monea, M. Opincariu, M. Stroe, Some equivalent characterizations of inner product spaces and their consequences. Filomat. (2015, 29(7), 1587-1599.
DOI
|
14 |
F. Skof, Proprieta locali e approssimazione di operatori, Rend. Sem. Mat. Fis.Milano 53 (1983), 113-129.
DOI
|
15 |
G.L. Forti, E. Shulman, A comparison among methods for proving stability, Aequationes Math. 94 (2020), 547-574.
DOI
|
16 |
G. Debreu, Integration of correspondences. In: Proceedings of Fifth Berkeley Symposium on Mathematical Statistics and Probability, Journal of Fixed Point Theory and Applications Vol. II, Part I (1966), 351-372.
|
17 |
G. Isac, T.M. Rassias, Stability of Ψ-additive mappings: applications to nonlinear analysis, Int. J. Math. Math. Sci. 19 (1996), 219-228.
DOI
|
18 |
G. E. Andrews, R. Askey and R. Roy, Special Functions, Cambridge Univ. Press 1999.
|
19 |
J.R. Lee, C. Park, D.Y. Shin, S. Yun, Set-Valued Quadratic Functional Equations, Results Math. 17 (2017, 1422-6383.
|
20 |
J.A. Baker, The stability of certain functional equations, Bull. Am. Math. Soc. 112 (1991), 729-732.
|
21 |
J.B. Diaz, B. Margolis, A fixed point theorem of the alternative for contractions on a generalized complete metric space, Bull. Am. Math. Soc. 74 (1968), 305-309.
DOI
|
22 |
J.M. Rassias, Solution of the Ulam Stability Problem for Euler-Lagrange Quadratic Mappings, J. Math. Anal. Appl. 220 (1998), 613-639.
DOI
|
23 |
K. Karthikeyan, G.S. Murugapandian, O. Ege, On the solutions of fractional integro-differential equations involving Ulam-Hyers-Rassias stability results via ψ-fractional derivative with boundary value conditions, Turkish Journal of Mathematics 46 (6) (2022), 2500-2512.
DOI
|
24 |
K.W. Jun, H. M. Kim, On the Hyers-Ulam stability of a generalized quadratic and additive functional equation, Bulletin of the Korean Mathematical Society 42 (1) (2005), 5133-148.
|
25 |
L. Cadariu, V. Radu, On the stability of the Cauchy functional equation: a fixed point approach, Grazer Math. Ber. 346 (2004), 43-52.
|
26 |
L. Cadariu, V. Radu, Fixed point methods for the generalized stability of functional equations in a single variable, Fixed Point Theory Appl. 15 (2008), Art. ID 749392.
|
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.E. Gordji, C. Park, M.B. Savadkouhi, The stability of a quartic type functional equation with the fixed point alternative, Fixed Point Theory 11 (2010), 265-272.
|
29 |
O. Ege, S.Ayadi, C. Park, Ulam-Hyers stabilities of a differential equation and a weakly singular Volterra integral equation, Journal of Inequalities and Applications 19 (2021), 1-12.
|
30 |
P.W. Cholewa, Remarks on the stability of functional equations, Aequationes Math. 27 (1984), 76-86.
DOI
|
31 |
P. Kaskasem, C. Klin-eam, Y.J. Cho, On the stability of the generalized Cauchy-Jensen set-valued functional equations, J. Fixed Point Theory Appl. 10 (2018), 1007.
|
32 |
S.M. Jung, On the Hyerss Ulams Rassias Stability of a Quadratic Functional Equation, J. Math. Anal. Appl. 68 (1999), 384-393.
DOI
|
33 |
R. Ger, On alienation of two functional equations of quadratic type, Aequat. Math. 19 (2021), 1169-1180.
DOI
|
34 |
S.M. Ulam, Problems in Modern Mathematics, Chapter IV, Science Editions, Wiley, New York 1960.
|
35 |
S. Czerwik, On the stability of the quadratic mapping in normed spaces, Abh. Math. Sem. Univ. Hamburg 62 (1992), 59-64.
DOI
|
36 |
S.S. Kim, J.M. Rassias, N. Hussain, Y,J. Cho, Generalized Hyers-Ulam stability of general cubic functional equation in random normed spaces, Filomat. 1 (2016), 89-98.
|
37 |
T.M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Am. Math. Soc. 72 (1978), 297-300.
DOI
|
38 |
V. Radu, The fixed point alternative and the stability of functional equations, Fixed Point Theory 4 (2003), 91-96.
|