- Title
- Directional metric regularity of multifunctions
- Creator
- Ngai, Huynh Van; Thera, Michel
- Date
- 2015
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/98984
- Identifier
- vital:10314
- Identifier
-
https://doi.org/10.1287/moor.2014.0705
- Identifier
- ISSN:0364-765X
- Abstract
- In this paper, we study relative metric regularity of set-valued mappings with emphasis on directional metric regularity. We establish characterizations of relative metric regularity without assuming the completeness of the image spaces, by using the relative lower semicontinuous envelopes of the distance functions to set-valued mappings. We then apply these characterizations to establish a coderivative type criterion for directional metric regularity as well as for the robustness of metric regularity.
- Publisher
- INFORMS Inst.for Operations Res.and the Management Sciences
- Relation
- Mathematics of Operations Research Vol. 40, no. 4 (2015), p. 969-991; http://purl.org/au-research/grants/arc/DP110102011
- Rights
- Copyright © 2015 INFORMS.
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0802 Computation Theory and Mathematics; Error bound property; Generalized equations; Perturbation stability; Relative/directional metric regularity; Semicontinuous envelope; Directional metric regularity; Distance functions; Error bound; Generalized Equations; Lower semicontinuous; Metric regularity; Semi-continuous; Set-valued mapping; Mapping
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