ON LOCAL BOUNDEDNESS OF I-TOPOLOGICAL VECTOR SPACES
نویسندگان
چکیده مقاله:
The notion of generalized locally bounded $I$-topological vectorspaces is introduced. Some of their important properties arestudied. The relationship between this kind of spaces and thelocally bounded $I$-topological vector spaces introduced by Wu andFang [Boundedness and locally bounded fuzzy topological vectorspaces, Fuzzy Math. 5 (4) (1985) 87$-$94] is discussed. Moreover, wealso use the family of generalized fuzzy quasi-norms to characterizethe generalized locally bounded $I$-topological vector spaces, andgive some applications of this characterization.
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ورودمنابع مشابه
on local boundedness of i-topological vector spaces
the notion of generalized locally bounded $i$-topological vectorspaces is introduced. some of their important properties arestudied. the relationship between this kind of spaces and thelocally bounded $i$-topological vector spaces introduced by wu andfang [boundedness and locally bounded fuzzy topological vectorspaces, fuzzy math. 5 (4) (1985) 87$-$94] is discussed. moreover, wealso use the fam...
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عنوان ژورنال
دوره 9 شماره 5
صفحات 93- 104
تاریخ انتشار 2012-12-28
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