About [q]-regularity properties of collections of sets
Optimization and Control
2014-04-01 v2
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.
Keywords
Cite
@article{arxiv.1310.5763,
title = {About [q]-regularity properties of collections of sets},
author = {Alexander Y. Kruger and Nguyen H. Thao},
journal= {arXiv preprint arXiv:1310.5763},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1309.7002