The Operators' Theorems on Fuzzy Topological Spaces

Saheli, Morteza; Mohsenialhosseini, Seyed Ali Mohammad; Saeidi Goraghani, Hadi

doi:10.22130/scma.2021.533260.953

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.

https://doi.org/10.22130/scma.2021.533260.953

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

20.1001.1.23225807.2022.19.1.4.9

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Sahand Communications in Mathematical Analysis

The Operators' Theorems on Fuzzy Topological Spaces

References

References

Volume 19, Issue 1
February 2022
Pages 57-76

The Operators' Theorems on Fuzzy Topological Spaces

References

References

Volume 19, Issue 1February 2022Pages 57-76

Volume 19, Issue 1
February 2022
Pages 57-76