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Title of Journal: J Optim Theory Appl

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Abbravation: Journal of Optimization Theory and Applications

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Springer US

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DOI

10.1002/chin.200649234

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1573-2878

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Directional Hölder Metric Regularity

Authors: Huynh Van Ngai Nguyen Huu Tron Michel Théra
Publish Date: 2015/09/01
Volume: 171, Issue: 3, Pages: 785-819
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Abstract

This paper sheds new light on regularity of multifunctions through various characterizations of directional Hölder/Lipschitz metric regularity which are based on the concepts of slope and coderivative By using these characterizations we show that directional Hölder/Lipschitz metric regularity is stable when the multifunction under consideration is perturbed suitably Applications of directional Hölder/Lipschitz metric regularity to investigate the stability and the sensitivity analysis of parameterized optimization problems are also discussed

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