A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces

A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces

We prove the generalized Hyers-Ulam-Rassias stability of a general system of Euler-Lagrange-type quadratic functional equations in non-Archimedean 2-normed spaces and Menger probabilistic non-Archimedean-normed spaces.

Bibliographic Details
Main Authors: M. Eshaghi Gordji, M. B. Ghaemi, Y. J. Cho, H. Majani
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/208163
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spelling doaj-3b2fa29573cc4dee9985895cd45bdad62020-11-24T23:19:55ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/208163208163A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed SpacesM. Eshaghi Gordji0M. B. Ghaemi1Y. J. Cho2H. Majani3Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Iran University of Science and Technology, Narmak, Tehran, IranDepartment of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Republic of KoreaDepartment of Mathematics, Iran University of Science and Technology, Narmak, Tehran, IranWe prove the generalized Hyers-Ulam-Rassias stability of a general system of Euler-Lagrange-type quadratic functional equations in non-Archimedean 2-normed spaces and Menger probabilistic non-Archimedean-normed spaces.http://dx.doi.org/10.1155/2011/208163
collection DOAJ
language English
format Article
sources DOAJ
author M. Eshaghi Gordji
M. B. Ghaemi
Y. J. Cho
H. Majani
spellingShingle M. Eshaghi Gordji
M. B. Ghaemi
Y. J. Cho
H. Majani
A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces
Abstract and Applied Analysis
author_facet M. Eshaghi Gordji
M. B. Ghaemi
Y. J. Cho
H. Majani
author_sort M. Eshaghi Gordji
title A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces
title_short A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces
title_full A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces
title_fullStr A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces
title_full_unstemmed A General System of Euler–Lagrange-Type Quadratic Functional Equations in Menger Probabilistic Non-Archimedean 2-Normed Spaces
title_sort general system of euler–lagrange-type quadratic functional equations in menger probabilistic non-archimedean 2-normed spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description We prove the generalized Hyers-Ulam-Rassias stability of a general system of Euler-Lagrange-type quadratic functional equations in non-Archimedean 2-normed spaces and Menger probabilistic non-Archimedean-normed spaces.
url http://dx.doi.org/10.1155/2011/208163
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