Research Article
Stability of Euler-Lagrange-Jensen's (a,b)- Sextic Functional Equation in Multi-Banach Spaces
- Head and Associate Professor, Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur
* Corresponding author
Abstract
In this paper, we prove the Hyers-Ulam Stability of Euler-Lagrange-Jensen's (a,b)-Sextic Functional Equation in Multi-Banach Spaces.
How to Cite
J. M. Rassias, R. Murali, A. A. Raj, Stability of Euler-Lagrange-Jensen's (a,b)- Sextic Functional Equation in Multi-Banach Spaces, Int. J. Anal. Appl. 16 (2018), 232–238. https://doi.org/10.28924/2291-8639-16-2018-232
BibTeX
@article{Rassias2018,
author = {Rassias, John Michael and Murali, R. and Raj, A. Antony},
title = {Stability of Euler-Lagrange-Jensen's (a,b)- Sextic Functional Equation in Multi-Banach Spaces},
journal = {Int. J. Anal. Appl.},
volume = {16},
year = {2018},
pages = {232--238},
doi = {10.28924/2291-8639-16-2018-232}
}References
- [1] T. Aoki, On the stability of the linear transformation in Banach spaces, J.Math. Soc. Japan 2 (1950), 64-66.
- [2] Dales, H.G and Moslehian, Stability of mappings on multi-normed spaces, Glasgow Math. J. 49 (2007), 321-332.
- [3] Fridoun Moradlou, Approximate Euler-Lagrange-Jensen type Additive mapping in Multi-Banach Spaces: A Fixed point Approach, Commun. Korean Math. Soc. 28 (2013), 319-333.
- [4] P. Gavruta, On a problem of G.Isac and Th.M.Rassias concerning the stability of mappings, J. Math. Anal. Appl. 261 (2001), 543-553.
- [5] D.H.Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. USA 27 (1941), 222-224.
- [6] John Michael Rassias, R. Murali, Matina John Rassias, A. Antony Raj, General Solution, stability and Non-sstability of Quattuorvigintic functional equation in Multi-Banach spaces, Int. J. Math. Appl. 5 (2017), 181-194.
- [7] Manoj Kumar and Ashish Kumar, Stability of Jenson Type Quadratic Functional Equations in Multi-Banach Spaces, Int. J. Math. Arch. 3(4) (2012), 1372-1378.
- [8] 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.
- [9] R. Murali, Matina J. Rassias and V. Vithya, The General Solution and stability of Nonadecic Functional Equation in Matrix Normed Spaces, Malaya J. Mat. 5(2) (2017), 416-427.
- [10] V.Radu, The fixed point alternative and the stability of functional equations, Fixed Point Theory 4 (2003), 91-96.
- [11] 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 (2) (2016), 83-103.
- [12] 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.
- [13] J. M. Rassias and M. Eslamian, Fixed points and stability of nonic functional equation in quasi-β-normed spaces, Cont. Anal. Appl. Math. 3 (2) (2015), 293-309.
- [14] Th.M. Rassias, On the stability of the linear mappings in Banach Spaces, Proc. Amer. Math. Soc., 72 (1978), 297-300.
- [15] Th.M. Rassias, On the stability of functional equations and a problem of Ulam, Acta. Appl. Math. 62 (2000) 23 - 130.
- [16] Tian Zhou Xu, John Michael Rassias and Wan Xin Xu, Generalized Ulam - Hyers Stability of a General Mixed AQCQ functional equation in Multi-Banach Spaces: A Fixed point Approach, Eur. J. Pure Appl. Math. 3 (2010), 1032-1047.
- [17] S.M. Ulam, A Collection of the Mathematical Problems, Interscience, New York, (1960).
- [18] 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-β-normed spaces, J. Inequal. Appl. 2010 (2010), Article ID 423231.
- [19] Xiuzhong Wang, Lidan Chang, Guofen Liu, Orthogonal Stability of Mixed Additive-Quadratic Jenson Type Functional Equation in Multi-Banach Spaces, Adv. Pure Math. 5 (2015), 325-332.