Characterizations of directional openness for set-valued mappings
Optimization and Control
2022-07-26 v1
Abstract
We provide necessary and sufficient conditions for a set-valued mapping between finite dimensional spaces to be directionally open by relating this property with directional regularity, H\"older continuity of the inverse mapping, coderivatives and variations. These generalize and refine some previously known results.
Keywords
Cite
@article{arxiv.2207.12240,
title = {Characterizations of directional openness for set-valued mappings},
author = {Si Tiep Dinh and Tien Son Pham},
journal= {arXiv preprint arXiv:2207.12240},
year = {2022}
}