Document Type : Research Paper

Authors

1 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

2 Department of Mathematics, Payame Noor University, Tehran, Iran.

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

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