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On the Stability of Quartic Functional Equations via Fixed Point and Direct Method

by Renu Chugh, Ashish, Manoj Kumar
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 40 - Number 13
Year of Publication: 2012
Authors: Renu Chugh, Ashish, Manoj Kumar
10.5120/5041-7365

Renu Chugh, Ashish, Manoj Kumar . On the Stability of Quartic Functional Equations via Fixed Point and Direct Method. International Journal of Computer Applications. 40, 13 ( February 2012), 23-28. DOI=10.5120/5041-7365

@article{ 10.5120/5041-7365,
author = { Renu Chugh, Ashish, Manoj Kumar },
title = { On the Stability of Quartic Functional Equations via Fixed Point and Direct Method },
journal = { International Journal of Computer Applications },
issue_date = { February 2012 },
volume = { 40 },
number = { 13 },
month = { February },
year = { 2012 },
issn = { 0975-8887 },
pages = { 23-28 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume40/number13/5041-7365/ },
doi = { 10.5120/5041-7365 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:27:59.571642+05:30
%A Renu Chugh
%A Ashish
%A Manoj Kumar
%T On the Stability of Quartic Functional Equations via Fixed Point and Direct Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 40
%N 13
%P 23-28
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The purpose of this paper is to establish the Hyers-Ulam-Rassias stability of quartic functional equation f(3x+y)+f(x+3y)=64f(x)+64f(y)+24f(x+y)-6f(x-y) in the setting of random normed space and intuitionistic random normed space. The stability of the equation is proved by using the fixed point method and direct method.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Fixed point method Quartic functional equation Random normed space intuitionistic random normed space

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