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arXiv · 1508.01930

Directional H\"older Metric Regularity

Van Ngai Huynh·Huu Tron Nguyen·Michel Théra
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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.

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Van Ngai Huynh, Huu Tron Nguyen, Michel Théra. 2015-08-08. Directional H\"older Metric Regularity. https://arxiv.org/abs/1508.01930

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