Approximate Quadratic-Additive Mappings in Fuzzy Normed Spaces

We examine the generalized Hyers-Ulam stability of the following functional equation: 2fx+y+z+w+f-x-y+z+w+f-x+y-z+w+f-x+y+z-w+fx-y-z+w+fx-y+z-w+fx+y-z-w-5fx-3f-x-5fy-3f-y-5fz-3f-z-5fw-3f-w=0, in the fuzzy normed spaces with the fixed point method.

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Bibliographic Details
Main Authors: Ick-Soon Chang, Yang-Hi Lee
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/494781
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author Ick-Soon Chang
Yang-Hi Lee
author_facet Ick-Soon Chang
Yang-Hi Lee
author_sort Ick-Soon Chang
collection DOAJ
description We examine the generalized Hyers-Ulam stability of the following functional equation: 2fx+y+z+w+f-x-y+z+w+f-x+y-z+w+f-x+y+z-w+fx-y-z+w+fx-y+z-w+fx+y-z-w-5fx-3f-x-5fy-3f-y-5fz-3f-z-5fw-3f-w=0, in the fuzzy normed spaces with the fixed point method.
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spelling doaj-art-42dc0c3d75614789aa49d74b16d786a02025-02-03T00:59:25ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/494781494781Approximate Quadratic-Additive Mappings in Fuzzy Normed SpacesIck-Soon Chang0Yang-Hi Lee1Department of Mathematics, Chungnam National University, 79 Daehangno, Yuseong-gu, Daejeon 305-764, Republic of KoreaDepartment of Mathematics Education, Gongju National University of Education, Gongju 314-711, Republic of KoreaWe examine the generalized Hyers-Ulam stability of the following functional equation: 2fx+y+z+w+f-x-y+z+w+f-x+y-z+w+f-x+y+z-w+fx-y-z+w+fx-y+z-w+fx+y-z-w-5fx-3f-x-5fy-3f-y-5fz-3f-z-5fw-3f-w=0, in the fuzzy normed spaces with the fixed point method.http://dx.doi.org/10.1155/2014/494781
spellingShingle Ick-Soon Chang
Yang-Hi Lee
Approximate Quadratic-Additive Mappings in Fuzzy Normed Spaces
Discrete Dynamics in Nature and Society
title Approximate Quadratic-Additive Mappings in Fuzzy Normed Spaces
title_full Approximate Quadratic-Additive Mappings in Fuzzy Normed Spaces
title_fullStr Approximate Quadratic-Additive Mappings in Fuzzy Normed Spaces
title_full_unstemmed Approximate Quadratic-Additive Mappings in Fuzzy Normed Spaces
title_short Approximate Quadratic-Additive Mappings in Fuzzy Normed Spaces
title_sort approximate quadratic additive mappings in fuzzy normed spaces
url http://dx.doi.org/10.1155/2014/494781
work_keys_str_mv AT icksoonchang approximatequadraticadditivemappingsinfuzzynormedspaces
AT yanghilee approximatequadraticadditivemappingsinfuzzynormedspaces