THE UNIFORM BOUNDEDNESS PRINCIPLE IN FUZZIFYING TOPOLOGICAL LINEAR SPACES
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Abstract:
The main purpose of this study is to discuss the uniform boundednessprinciple in fuzzifying topological linear spaces. At first theconcepts of uniformly boundedness principle and fuzzy equicontinuousfamily of linear operators are proposed, then the relations betweenfuzzy equicontinuous and uniformly bounded are studied, and with thehelp of net convergence, the characterization of fuzzyequicontinuous is proved. Finally, the famous theorem of the uniformboundedness principle is presented in fuzzifying topological linearspaces.
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Journal title
volume 15 issue 3
pages 141- 151
publication date 2018-06-30
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