- Title
- Directional Holder metric regularity
- Creator
- Ngai, Huynh Van; Tron, Nguyen Huu; Thera, Michel
- Date
- 2016
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154639
- Identifier
- vital:11150
- Identifier
-
https://doi.org/10.1007/s10957-015-0797-6
- Identifier
- ISSN:0022-3239
- Abstract
- This paper sheds new light on regularity of multifunctions through various characterizations of directional Holder/Lipschitz metric regularity, which are based on the concepts of slope and coderivative. By using these characterizations, we show that directional Holder/Lipschitz metric regularity is stable, when the multifunction under consideration is perturbed suitably. Applications of directional Holder/Lipschitz metric regularity to investigate the stability and the sensitivity analysis of parameterized optimization problems are also discussed.
- Relation
- Journal of Optimization Theory and Applications Vol. 171, no. 3 (2016), p. 785-819
- Rights
- Copyright © Springer Science+Business Media New York 2015
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0906 Electrical and Electronic Engineering; Slope; Metric regularity; Holder metric regularity; Generalized equation; Frechet subdifferential; Asplund spaces; Ekeland variational principle; Hadamard directional differentiability
- Full Text
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