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arXiv · 1310.5763

About [q]-regularity properties of collections of sets

Alexander Y. Kruger·Nguyen H. Thao
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Abstract

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.

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Alexander Y. Kruger, Nguyen H. Thao. 2014-03-31. About [q]-regularity properties of collections of sets. https://doi.org/10.1016/j.jmaa.2014.02.028

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