Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space

Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space

We define and study the concepts of Schauder basis, separability, and approximation property in intuitionistic fuzzy normed spaces and establish some results related to these concepts. We also display here some interesting examples by using classical sequence spaces ℓ𝑝(1≤𝑝≤∞).

Bibliographic Details
Main Authors: M. Mursaleen, V. Karakaya, S. A. Mohiuddine
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/131868
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spelling doaj-ce9082fc444549cebf0955cecfb515362020-11-24T22:46:12ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/131868131868Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed SpaceM. Mursaleen0V. Karakaya1S. A. Mohiuddine2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul 34220, TurkeyDepartment of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi ArabiaWe define and study the concepts of Schauder basis, separability, and approximation property in intuitionistic fuzzy normed spaces and establish some results related to these concepts. We also display here some interesting examples by using classical sequence spaces ℓ𝑝(1≤𝑝≤∞).http://dx.doi.org/10.1155/2010/131868
collection DOAJ
language English
format Article
sources DOAJ
author M. Mursaleen
V. Karakaya
S. A. Mohiuddine
spellingShingle M. Mursaleen
V. Karakaya
S. A. Mohiuddine
Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space
Abstract and Applied Analysis
author_facet M. Mursaleen
V. Karakaya
S. A. Mohiuddine
author_sort M. Mursaleen
title Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space
title_short Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space
title_full Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space
title_fullStr Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space
title_full_unstemmed Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space
title_sort schauder basis, separability, and approximation property in intuitionistic fuzzy normed space
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2010-01-01
description We define and study the concepts of Schauder basis, separability, and approximation property in intuitionistic fuzzy normed spaces and establish some results related to these concepts. We also display here some interesting examples by using classical sequence spaces ℓ𝑝(1≤𝑝≤∞).
url http://dx.doi.org/10.1155/2010/131868
work_keys_str_mv AT mmursaleen schauderbasisseparabilityandapproximationpropertyinintuitionisticfuzzynormedspace
AT vkarakaya schauderbasisseparabilityandapproximationpropertyinintuitionisticfuzzynormedspace
AT samohiuddine schauderbasisseparabilityandapproximationpropertyinintuitionisticfuzzynormedspace
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