Title of article :
The Operators’ Theorems on Fuzzy Topological Spaces
Author/Authors :
Saheli ، Morteza Department of Mathematics - Vali-e-Asr University of Rafsanjan , Mohsenialhosseini ، Ali Mohammad Department of Mathematics - Vali-e-Asr University of Rafsanjan , Saeidi Goraghani ، Hadi Department of Mathematics - Payame Noor University
Abstract :
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.
Keywords :
Fuzzy norm , Fuzzy topology , Fuzzy boundedness , Fuzzy continuity
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
