Keywords:-
Article Content:-
Abstract
In this paper, we obtain the general solution and Generalized Hyers-Ulam-Rassias stability of the n-dimensional quadratic functional equation in Random Normed Space, where n is a positive integer with using direct and fixed-point methods.
References:-
References
J. Cho, T. M. Rassias, R. Saadati, stability of Functional Equations in Random Normed Spaces, springer, New York, (2013).
M. Eshanghi Gordji, J. M. Rassias and M. Bavand Savadkouhi, Approximation of the Quadratic and Cubic Functional Equation in RN-Spaces, European J. pure. Appl. Math.,Vol. 2(4), (2009), 494-507.
D. Mihet and V. Radu, On the Stability of the Additive Cauchy Functional Equation in Random Normed Spaces, J. Math. Analysis and Appl., Vol. 343(1), (2008), 567-572.
Mihet, R. Saadati, S. M. Vaezpour, The Stability of the Quartic Functional Equation in Random Normed Space, Acta. Appl. Math., Vol. 110, (2010), 799-803.
Renu Chugh, Ashish, On the Stability of Functional Equations in Random Normed Spaces, Int. J. Computer Appl., Vol. 45(11), (2012).
R. Saadati, S. M. Vaezpour and Y. J. cho, A Note to Paper “On the Stability of Cubic Mappings and Quartic Mappings in Random Normed Spaces”, J. Ineq. Appl., DOI: 10.1155/2009/214530, (2009).
Shaymaa Alshybami, S. Mansour Vaezpour, Reza Saadati, Generalized Hyers-Ulam Stability of Mixed Type Additive-Quadratic Functional Equation in Random Normed Spaces, J. Math. Analysis, vol. 8(5), (2017), 12-26.
A. N. Sherstner, On the Notation of a Random Normed Space, Doklady Aka demii Nauk SSSr, Vol. 149, (1963), 280-283.
T. Z. Xu, J. M. Rassias, W. X. Xu, On Stability of a General Mixed Additive-Cubic Functional Equation in Random Normed Spaces, J. Inequl. Appl., Article ID: 328473, (2010).
Zhang, J. M. Rassias and R. Saadati, Stability of a Cubic Functional in Intuitionistic Random Normed Spaces, Appl. Math. Mech. Engl. Ed 31(1), (2010), 21-26.