202 research outputs found
About [q]-regularity properties of collections of sets
We examine three primal space local Hoelder type regularity properties of
finite collections of sets, namely, [q]-semiregularity, [q]-subregularity, and
uniform [q]-regularity as well as their quantitative characterizations.
Equivalent metric characterizations of the three mentioned regularity
properties as well as a sufficient condition of [q]-subregularity in terms of
Frechet normals are established. The relationships between [q]-regularity
properties of collections of sets and the corresponding regularity properties
of set-valued mappings are discussed.Comment: arXiv admin note: substantial text overlap with arXiv:1309.700
Some basic results on fuzzy strong -b-normed linear spaces
In this paper, definition of fuzzy strong -b-normed linear space is
given. Here the scalar function |c| is replaced by a general function (c)
where {\phi} satisfies some properties. Some basic results on finite
dimensional fuzzy strong -b-normed linear space are studied.Comment: 10 page
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