TY - JOUR
ID - 248910
TI - The Operators' Theorems on Fuzzy Topological Spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Saheli, Morteza
AU - Mohsenialhosseini, Seyed Ali Mohammad
AU - Saeidi Goraghani, Hadi
AD - Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
AD - Department of Mathematics, Payame Noor University, Tehran, Iran.
Y1 - 2022
PY - 2022
VL - 19
IS - 1
SP - 57
EP - 76
KW - Fuzzy norm
KW - Fuzzy topology
KW - Fuzzy boundedness
KW - Fuzzy continuity
DO - 10.22130/scma.2021.533260.953
N2 - Three types of fuzzy topologies defined on fuzzy normed linear spaces are considered in this paper. First, the relationshipbetween 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.
UR - https://scma.maragheh.ac.ir/article_248910.html
L1 - https://scma.maragheh.ac.ir/article_248910_bb60da7fe1faac46d376a3f7119556fd.pdf
ER -