- Title
- Stationarity and Regularity of Infinite Collections of Sets. Applications to Infinitely Constrained Optimization
- Creator
- Kruger, Alexander; López, Marco
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/166000
- Identifier
- vital:13379
- Identifier
-
https://doi.org/10.1007/s10957-012-0086-6
- Identifier
- ISBN:0022-3239
- Abstract
- This article continues the investigation of stationarity and regularity properties of infinite collections of sets in a Banach space started in Kruger and López (J. Optim. Theory Appl. 154(2), 2012), and is mainly focused on the application of the stationarity criteria to infinitely constrained optimization problems. We consider several settings of optimization problems which involve (explicitly or implicitly) infinite collections of sets and deduce for them necessary conditions characterizing stationarity in terms of dual space elements-normals and/or subdifferentials.
- Publisher
- Springer
- Relation
- Journal of Optimization Theory and Applications Vol. 155, no. 2 (2012), p. 390-416; http://purl.org/au-research/grants/arc/DP110102011
- Rights
- Copyright © 2012 Springer Science+Business Media, LLC.
- 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; Asplund space; Extremal principle; Extremality; Infinitely constrained optimization; Normal cone; Optimality; Regularity; Stationarity; Subdifferential
- Full Text
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