On coderivatives and Lipschitzian properties of the dual pair in optimization

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. Â© 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
Reviewed

		Thumbnail	File	Description	Size	Format