GENERAL SOLUTION AND ULAM STABILITY OF GENERALIZED CQ FUNCTIONAL EQUATION |
Govindan, Vediyappan
(Department of Mathematics, DMI St John Baptist University)
Lee, Jung Rye (Department of Data Science, Daejin University) Pinelas, Sandra (Departamento de Ciencias Exatas e Engenharia, Academia Militar) Muniyappan, P. (Erode Arts and Science College (Autonomous)) |
1 | M. Eshaghi Gordji, R. Khodabakhsh, S. Jung and H. Khodaei, AQCQ-Functional equation in non-Archimedean normed spaces, Abstr.. Appl. Anal. 2010 (2010), Article ID 741942. |
2 | M. Eshaghi Gordji, H. Khodaei and R. Khodabakhsh, General quartic-cubic-quadratic functional equation in non-Archimedean normed spaces, UPB Sci. Bull. Ser. A, 72 (2010), no. 3, 69-84. |
3 | M. Eshaghi Gorgji and M. B. Savadkouhi, Stability of cubic and quartic functional equations in non-Archimedean spaces, Acta Appl. Math. 110 (2010), 1321-1329. DOI |
4 | M. Eshaghi Gordji and M. B. Savadkouhi, Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces, Appl. Math. Lett. 23 (2010), 1198-1202. DOI |
5 | A. Gil'anyi, On a problem by K. Nikodem, Math. Inequal. Appl. 5 (2002), 707-710. |
6 | V. Govindan, S. Murthy and M. Saravanan, Solution and stability of new type of (aaq,bbq,caq,daq) mixed type functional equation in various normed spaces: Using two different methods, Int. J. Math. Appl. 5 (2017), 187-211. |
7 | S. Jung, D. Popa and M. Th. Rassias, On the stability of the linear functional equation in a single variable on complete metric spaces, J. Global Optim. 59 (2014), 13-16. |
8 | R. Murali, S. Pinelas and V. Vithya, The stability of viginti unus functional equation in various spaces, Global J. Pure Appl. Math. 13 (2017), 5735-5759. |
9 | C. Park, Additive ρ-functional inequalities and equations, J. Math. Inequal. 9 (2015), 17-26. DOI |
10 | K. Jun and H. Kim, The generalized Hyers-Ulam-Rassias stability of a cubic functional equation, J. Math. Anal. Appl. 274 (2002), 267-278. |
11 | Y. Lee, S. Jung and M. Th. Rassias, Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation, J. Math. Inequal. 12 (2018), 43-61. |
12 | D. Mihet, The stability of the additive Cauchy functional equation in non- Archimedean fuzzy normed spaces, Fuzzy Sets Syst. 161 (2010), 2206-2212. DOI |
13 | S. Murthy, V. Govindhan, General solution and generalized HU (Hyers-Ulam) statbility of new dimension cubic functional equation in fuzzy ternary Banach algebras: Using two different methods, Int. J. Pure Appl. Math. 113 (2017), no. 6, 394-403. |
14 | P. Narasimman, K. Ravi and S. Pinelas, Stability of Pythagorean mean functional equation, Global J. Math. 4 (2015), 398-411. |
15 | C. Park, Additive ρ-functional inequalities in non-Archimedean normed spaces, J. Math. Inequal. 9 (2015), 397-407. DOI |
16 | S. Pinelas, V. Govindan and K. Tamilvanan, Stability of non-additive functional equation, IOSR J. Math. 14 (2018), no. 2, 70-78. |