Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces

Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces

In intuitionistic fuzzy normed spaces, we investigate some stability results for the functional equation ∑𝑛𝑖=1𝑓(𝑥𝑖∑−(1/𝑛)𝑛𝑗=1𝑥𝑗∑)=𝑛𝑖=1𝑓(𝑥𝑖∑)−𝑛𝑓((1/𝑛)𝑛𝑖=1𝑥𝑖) which is said to be a functional equation associated with inner products space....

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Bibliographic Details
Main Authors: Zhihua Wang, Themistocles M. Rassias
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/456182
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spelling doaj-1770647916814731a077411fcd9b49b42020-11-24T22:48:57ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/456182456182Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product SpacesZhihua Wang0Themistocles M. Rassias1School of Science, Hubei University of Technology, Wuhan, Hubei 430068, ChinaDepartment of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, GreeceIn intuitionistic fuzzy normed spaces, we investigate some stability results for the functional equation ∑𝑛𝑖=1𝑓(𝑥𝑖∑−(1/𝑛)𝑛𝑗=1𝑥𝑗∑)=𝑛𝑖=1𝑓(𝑥𝑖∑)−𝑛𝑓((1/𝑛)𝑛𝑖=1𝑥𝑖) which is said to be a functional equation associated with inner products space.http://dx.doi.org/10.1155/2011/456182
collection DOAJ
language English
format Article
sources DOAJ
author Zhihua Wang
Themistocles M. Rassias
spellingShingle Zhihua Wang
Themistocles M. Rassias
Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces
Abstract and Applied Analysis
author_facet Zhihua Wang
Themistocles M. Rassias
author_sort Zhihua Wang
title Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces
title_short Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces
title_full Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces
title_fullStr Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces
title_full_unstemmed Intuitionistic Fuzzy Stability of Functional Equations Associated with Inner Product Spaces
title_sort intuitionistic fuzzy stability of functional equations associated with inner product spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description In intuitionistic fuzzy normed spaces, we investigate some stability results for the functional equation ∑𝑛𝑖=1𝑓(𝑥𝑖∑−(1/𝑛)𝑛𝑗=1𝑥𝑗∑)=𝑛𝑖=1𝑓(𝑥𝑖∑)−𝑛𝑓((1/𝑛)𝑛𝑖=1𝑥𝑖) which is said to be a functional equation associated with inner products space.
url http://dx.doi.org/10.1155/2011/456182
work_keys_str_mv AT zhihuawang intuitionisticfuzzystabilityoffunctionalequationsassociatedwithinnerproductspaces
AT themistoclesmrassias intuitionisticfuzzystabilityoffunctionalequationsassociatedwithinnerproductspaces
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