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THE UNIFORM BOUNDEDNESS PRINCIPLE IN FUZZIFYING TOPOLOGICAL LINEAR SPACES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 15، شماره 3، مرداد و شهریور 2018، صفحه 141-151 اصل مقاله (363.96 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2018.3954 | ||
| نویسنده | ||
| Cong-hua Yan* | ||
| Institute of Math., School of Math. Sciences, Nanjing Normal University, Nanjing Jiangsu 210023, People0 s Republic of China | ||
| چکیده | ||
| The main purpose of this study is to discuss the uniform boundedness principle in fuzzifying topological linear spaces. At first the concepts of uniformly boundedness principle and fuzzy equicontinuous family of linear operators are proposed, then the relations between fuzzy equicontinuous and uniformly bounded are studied, and with the help of net convergence, the characterization of fuzzy equicontinuous is proved. Finally, the famous theorem of the uniform boundedness principle is presented in fuzzifying topological linear spaces. | ||
| کلیدواژهها | ||
| Fuzzifying topological linear spaces؛ Fuzzy equiequicontinuous؛ Uniform boundedness principle؛ Fuzzy the second category؛ topology | ||
| مراجع | ||
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