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the operators’ theorems on fuzzy topological spaces
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نویسنده
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saheli morteza ,mohsenialhosseini ali mohammad ,saeidi goraghani hadi
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منبع
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sahand communications in mathematical analysis - 2022 - دوره : 19 - شماره : 1 - صفحه:57 -76
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چکیده
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Three types of fuzzy topologies defined on fuzzy normed linear spaces are considered in this paper. first, the relationship between fuzzy continuity of linear operators and fuzzy boundedness is investigated. the uniform boundedness theorem is then discussed, so too is the norm of a linear operator. finally, the open mapping theorem is proved for each of the three defined fuzzy topologies, and the closed graph theorem is studied.
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کلیدواژه
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fuzzy norm ,fuzzy topology ,fuzzy boundedness ,fuzzy continuity
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آدرس
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vali-e-asr university of rafsanjan, department of mathematics, iran, vali-e-asr university of rafsanjan, department of mathematics, iran, payame noor university, department of mathematics, iran
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پست الکترونیکی
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hadihb2003@yahoo.com
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Authors
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