- Title
- On coderivatives and Lipschitzian properties of the dual pair in optimization
- Creator
- López, Marco; Ridolfi, Andrea; Vera De Serio, Virginia
- Date
- 2012
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/38059
- Identifier
- vital:4291
- Identifier
-
https://doi.org/10.1016/j.na.2011.06.036
- Identifier
- ISSN:0362-546X
- Abstract
- In this paper, we apply the concept of coderivative and other tools from the generalized differentiation theory for set-valued mappings to study the stability of the feasible sets of both the primal and the dual problem in infinite-dimensional linear optimization with infinitely many explicit constraints and an additional conic constraint. After providing some specific duality results for our dual pair, we study the Lipschitz-like property of both mappings and also give bounds for the associated Lipschitz moduli. The situation for the dual shows much more involved than the case of the primal problem. © 2011 Elsevier Ltd. All rights reserved.
- Relation
- Nonlinear Analysis, Theory, Methods and Applications Vol. 75, no. 3 (2012), p. 1461-1482
- Rights
- Copyright Elsevier Ltd
- Rights
- This metadata is freely available under a CCO license
- Subject
- Coderivative; Dual pair and duality theory; Lipschitz-like property and Lipschitz moduli; Semi-infinite and infinite-dimensional programming; Stability
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