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Fuzzy topological vector spaces I

Fuzzy Sets and Systems, 1981
This is a continuation of ibid. 6, 85-95 (1981; Zbl 0463.46009). It is shown that a topology \(\tau\), on a vector space E, is linear iff the fuzzy topology \(\omega\) (\(\tau)\), consisting of all \(\tau\)-lower semicontinuous fuzzy sets, is linear. The fuzzy seminormed and the fuzzy normed linear spaces are introduced and some of their properties are
A K Katsaras
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The generalized optimality conditions of multiobjective programming problem in topological vector space [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2004
In this study, an alternative theorem for the subconvexlike mapping in topological vector space is established. With this alternative theorem as an aid, the generalized Fritz John conditions and the generalized Kuhn–Tucker conditions in terms of Gâteaux ...
Yuda Hu
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On the Rigidity of Lattices of Topologies on Vector Spaces

Order, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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