Abstract :
The main purpose of this study is to discuss the uniform boundedness
principle in fuzzifying topological linear spaces. At rst 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.
Keywords :
Fuzzifying topological linear spaces , Fuzzy equiequicontinuous , Uniform boundedness principle , Fuzzy the second category , Topology
