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Stability of Functional Equations in Multi-Banach Spaces via Fixed Point Approach

by Manoj Kumar, Ashish
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 44 - Number 7
Year of Publication: 2012
Authors: Manoj Kumar, Ashish
10.5120/6278-8445

Manoj Kumar, Ashish . Stability of Functional Equations in Multi-Banach Spaces via Fixed Point Approach. International Journal of Computer Applications. 44, 7 ( April 2012), 35-40. DOI=10.5120/6278-8445

@article{ 10.5120/6278-8445,
author = { Manoj Kumar, Ashish },
title = { Stability of Functional Equations in Multi-Banach Spaces via Fixed Point Approach },
journal = { International Journal of Computer Applications },
issue_date = { April 2012 },
volume = { 44 },
number = { 7 },
month = { April },
year = { 2012 },
issn = { 0975-8887 },
pages = { 35-40 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume44/number7/6278-8445/ },
doi = { 10.5120/6278-8445 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:34:57.367854+05:30
%A Manoj Kumar
%A Ashish
%T Stability of Functional Equations in Multi-Banach Spaces via Fixed Point Approach
%J International Journal of Computer Applications
%@ 0975-8887
%V 44
%N 7
%P 35-40
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, using the fixed point approach, we proved the Hyers-Ulam-Rassias stability of a Jensen-type quadratic functional equations f(ax±ay)-a2[f(x)+f(y)] and f((x±y)/2)-f(x)-f(y)in Multi-Banach Spaces using the ideas from Dales and Polyakov [4].

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Index Terms

Computer Science
Information Sciences

Keywords

Fixed Point Alternative Jensen-type Quadratic Functional Equations Multi-banach Spaces

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