Directional H\"older Metric Regularity
Optimization and Control
2015-08-11 v1
Abstract
This paper sheds new light on regularity of multifunctions through various characterizations of directional H\"older /Lipschitz metric regularity, which are based on the concepts of slope and coderivative. By using these characterizations, we show that directional H\"older /Lipschitz metric regularity is stable, when the multifunction under consideration is perturbed suitably. Applications of directional H\"older /Lipschitz metric regularity to investigate the stability and the sensitivity analysis of parameterized optimization problems are also discussed.
Cite
@article{arxiv.1508.01930,
title = {Directional H\"older Metric Regularity},
author = {Van Ngai Huynh and Huu Tron Nguyen and Michel Théra},
journal= {arXiv preprint arXiv:1508.01930},
year = {2015}
}