Approximation of the Cubic Functional Equation in Non-Archimedean Normed Spaces : Direct and Fixed Point Method

Shalini Tomar¹ , Nawneet Hooda²

1. Dept. of Mathematics, Kanya Mahavidyalaya, MD University, Kharkhoda, India.
2. Dept. of Mathematics, DCRUST, Murthal, Sonepat, India.

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.3 , pp.140-145, Jun-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i3.140145

Online published on Jun 30, 2018

Copyright © Shalini Tomar, Nawneet Hooda . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we will consider the following form of cubic functional equation: f(kx+y) - f(x+ky) = (k-1)(k+1)2[f(x) – f(y)] – k(k-1)f(x-y) for a positive integer k greater than 2. We will investigate the Hyers-Ulam-Rassias stability of cubic functional equation using two different approaches i.e. direct and fixed point method in non-Archimedean normed spaces.

Key-Words / Index Term :
Hyers-Ulam-Rassias stability, Cubic functional equation and non-archimedean normed spaces

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