Completeness of fuzzy normed linear space of all weakly fuzzy bounded linear operators

Abstract

In this note, it is proved that the fuzzy normed linear space B(X,Y ) of all weakly fuzzy bounded linear operators defined from a Felbin’s type fuzzy normed linear space X to a Felbin’s type fuzzy normed space Y is complete when Y is complete, and that Y is complete when B(X,Y ) is complete with some mild conditions on X. © 2013 Elsevier B.V. All rights… (More)
DOI: 10.1016/j.fss.2013.11.003