Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces

Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces

We investigate the generalized Hyers-Ulam stability of the functional inequalities ∥f((x+y+z)/4)+f((3x−y−4z)/4)+f((4x+3z)/4)∥≤∥2f(x)∥ and ∥f((y−x)/3)+f((x−3z)/3)+f((3x+3z−y)/3)∥≤∥f(x)∥ in non-Archimedean normed spaces in the spirit of the Th. M. Rassias stability approach....

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Main Authors: A. Ebadian, N. Ghobadipour, Th. M. Rassias, M. Eshaghi Gordji
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/929824
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spelling doaj-ce8682ad91c44908bcf6af5cd54cc6702020-11-24T23:01:59ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/929824929824Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean SpacesA. Ebadian0N. Ghobadipour1Th. M. Rassias2M. Eshaghi Gordji3Department of Mathematics, Urmia University, Urmia, IranDepartment of Mathematics, Urmia University, Urmia, IranDepartment of Mathematics, National Technical University of Athens, 15780 Zografou, GreeceDepartment of Mathematics, Semnan University, P.O. Box 35195-363, IranWe investigate the generalized Hyers-Ulam stability of the functional inequalities ∥f((x+y+z)/4)+f((3x−y−4z)/4)+f((4x+3z)/4)∥≤∥2f(x)∥ and ∥f((y−x)/3)+f((x−3z)/3)+f((3x+3z−y)/3)∥≤∥f(x)∥ in non-Archimedean normed spaces in the spirit of the Th. M. Rassias stability approach.http://dx.doi.org/10.1155/2011/929824
collection DOAJ
language English
format Article
sources DOAJ
author A. Ebadian
N. Ghobadipour
Th. M. Rassias
M. Eshaghi Gordji
spellingShingle A. Ebadian
N. Ghobadipour
Th. M. Rassias
M. Eshaghi Gordji
Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces
Discrete Dynamics in Nature and Society
author_facet A. Ebadian
N. Ghobadipour
Th. M. Rassias
M. Eshaghi Gordji
author_sort A. Ebadian
title Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces
title_short Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces
title_full Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces
title_fullStr Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces
title_full_unstemmed Functional Inequalities Associated with Cauchy Additive Functional Equation in Non-Archimedean Spaces
title_sort functional inequalities associated with cauchy additive functional equation in non-archimedean spaces
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2011-01-01
description We investigate the generalized Hyers-Ulam stability of the functional inequalities ∥f((x+y+z)/4)+f((3x−y−4z)/4)+f((4x+3z)/4)∥≤∥2f(x)∥ and ∥f((y−x)/3)+f((x−3z)/3)+f((3x+3z−y)/3)∥≤∥f(x)∥ in non-Archimedean normed spaces in the spirit of the Th. M. Rassias stability approach.
url http://dx.doi.org/10.1155/2011/929824
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AT thmrassias functionalinequalitiesassociatedwithcauchyadditivefunctionalequationinnonarchimedeanspaces
AT meshaghigordji functionalinequalitiesassociatedwithcauchyadditivefunctionalequationinnonarchimedeanspaces
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