Stability results of the functional equation deriving from quadratic function in random normed spaces

Author:

Alessa Nazek, ,Tamilvanan K.,Balasubramanian G.,Loganathan K., ,

Abstract

<abstract> <p>The authors introduce a finite variable quadratic functional equation and derive its solution. Also, authors examine its Hyers-Ulam stability in Random Normed space(RN-space) by means of two different methods.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference26 articles.

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2. M. Arunkumar, S. Karthikeyan, S. Ramamoorthi, Generalized Ulam-Hyers stability of $N$-dimensional cubic functional equation in FNS and RNS: various methods, Middle-East J. Sci. Res., 24 (2016), 386–404.

3. H. A. Kenary, RNS-approximately nonlinear additive functional equations, J. Math. Extension, 6 (2012), 11–20.

4. E. Baktash, Y. J. Cho, M. Jalili, R. Saadati, S. M. Vaezpour, On the stability of cubic mappings and quadratic mappings in random normed spaces, J. Inequalities Appl., (2008), Article ID 902187, 11, doi: 10.1155/2008/902187.

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