Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces

The main purpose of this work is to introduce some types of fuzzy convergence sequences of operators defined on a standard fuzzy normed space (SFN-spaces) and investigate some properties and relationships between these concepts. Firstly, the definition of weak fuzzy convergence sequence in terms of...

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Autor principal:	Raghad I. Sabri
Formato:	article
Lenguaje:	AR EN
Publicado:	College of Science for Women, University of Baghdad 2021
Materias:	Fuzzy compact linear operator, Fuzzy convergence sequence of operators, Standard fuzzy normed spaces, Strongly fuzzy convergent, Weakly fuzzy convergent Science Q
Acceso en línea:	https://doaj.org/article/f4d523df5f794df993527a408f16a792
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id	oai:doaj.org-article:f4d523df5f794df993527a408f16a792
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spelling	oai:doaj.org-article:f4d523df5f794df993527a408f16a7922021-12-04T16:12:58ZFuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces10.21123/bsj.2021.18.4.12042078-86652411-7986https://doaj.org/article/f4d523df5f794df993527a408f16a7922021-12-01T00:00:00Zhttps://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4693https://doaj.org/toc/2078-8665https://doaj.org/toc/2411-7986 The main purpose of this work is to introduce some types of fuzzy convergence sequences of operators defined on a standard fuzzy normed space (SFN-spaces) and investigate some properties and relationships between these concepts. Firstly, the definition of weak fuzzy convergence sequence in terms of fuzzy bounded linear functional is given. Then the notions of weakly and strongly fuzzy convergence sequences of operators are introduced and essential theorems related to these concepts are proved. In particular, if ( ) is a strongly fuzzy convergent sequence with a limit where linear operator from complete standard fuzzy normed space into a standard fuzzy normed space then belongs to the set of all fuzzy bounded linear operators . Furthermore, the concept of a fuzzy compact linear operator in a standard fuzzy normed space is introduced. Also, several fundamental theorems of fuzzy compact linear operators are studied in the same space. More accurately, every fuzzy compact linear operator is proved to be fuzzy bounded where and are two standard fuzzy normed spaces Raghad I. SabriCollege of Science for Women, University of BaghdadarticleFuzzy compact linear operator, Fuzzy convergence sequence of operators, Standard fuzzy normed spaces, Strongly fuzzy convergent, Weakly fuzzy convergentScienceQARENBaghdad Science Journal, Vol 18, Iss 4 (2021)
institution	DOAJ
collection	DOAJ
language	AR EN
topic	Fuzzy compact linear operator, Fuzzy convergence sequence of operators, Standard fuzzy normed spaces, Strongly fuzzy convergent, Weakly fuzzy convergent Science Q
spellingShingle	Fuzzy compact linear operator, Fuzzy convergence sequence of operators, Standard fuzzy normed spaces, Strongly fuzzy convergent, Weakly fuzzy convergent Science Q Raghad I. Sabri Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces
description	The main purpose of this work is to introduce some types of fuzzy convergence sequences of operators defined on a standard fuzzy normed space (SFN-spaces) and investigate some properties and relationships between these concepts. Firstly, the definition of weak fuzzy convergence sequence in terms of fuzzy bounded linear functional is given. Then the notions of weakly and strongly fuzzy convergence sequences of operators are introduced and essential theorems related to these concepts are proved. In particular, if ( ) is a strongly fuzzy convergent sequence with a limit where linear operator from complete standard fuzzy normed space into a standard fuzzy normed space then belongs to the set of all fuzzy bounded linear operators . Furthermore, the concept of a fuzzy compact linear operator in a standard fuzzy normed space is introduced. Also, several fundamental theorems of fuzzy compact linear operators are studied in the same space. More accurately, every fuzzy compact linear operator is proved to be fuzzy bounded where and are two standard fuzzy normed spaces
format	article
author	Raghad I. Sabri
author_facet	Raghad I. Sabri
author_sort	Raghad I. Sabri
title	Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces
title_short	Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces
title_full	Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces
title_fullStr	Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces
title_full_unstemmed	Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces
title_sort	fuzzy convergence sequence and fuzzy compact operators on standard fuzzy normed spaces
publisher	College of Science for Women, University of Baghdad
publishDate	2021
url	https://doaj.org/article/f4d523df5f794df993527a408f16a792
work_keys_str_mv	AT raghadisabri fuzzyconvergencesequenceandfuzzycompactoperatorsonstandardfuzzynormedspaces
_version_	1718372710555320320

Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces

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