Lipschitz behavior of convex semi-infinite optimization problems: a variational approach
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10045/75118
Title: | Lipschitz behavior of convex semi-infinite optimization problems: a variational approach |
---|---|
Authors: | Cánovas Cánovas, María Josefa | Hantoute, Abderrahim | López Cerdá, Marco A. | Parra López, Juan |
Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
Keywords: | Convex semi-infinite programming | Metric regularity | Optimal set | Lipschitz modulus |
Knowledge Area: | Estadística e Investigación Operativa |
Issue Date: | May-2008 |
Publisher: | Springer Science+Business Media, LLC |
Citation: | Journal of Global Optimization. 2008, 41(1): 1-13. doi:10.1007/s10898-007-9205-6 |
Abstract: | In this paper we make use of subdifferential calculus and other variational techniques, traced out from [Ioffe, A.D.: Metric regularity and subdifferential calculus. Uspekhi Mat. Nauk 55, 3(333), 103–162; Engligh translation Math. Surveys 55, 501–558 (2000); Ioffe, A.D.: On rubustness of the regularity property of maps. Control cybernet 32, 543–554 (2003)], to derive different expressions for the Lipschitz modulus of the optimal set mapping of canonically perturbed convex semi-infinite optimization problems. In order to apply this background for obtaining the modulus of metric regularity of the associated inverse multifunction, we have to analyze the stable behavior of this inverse mapping. In our semi-infinite framework this analysis entails some specific technical difficulties. We also provide a new expression of a global variational nature for the referred regularity modulus. |
Sponsor: | This research has been partially supported by grants MTM2005-08572-C03 (01-02) and MTM2006-27491-E, from MEC (Spain) and FEDER (E.U.), and ACOMP06/117-203, and ACOMP/2007/247–292, from Generalitat Valenciana (Spain). |
URI: | http://hdl.handle.net/10045/75118 |
ISSN: | 0925-5001 (Print) | 1573-2916 (Online) |
DOI: | 10.1007/s10898-007-9205-6 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © Springer Science+Business Media LLC 2007 |
Peer Review: | si |
Publisher version: | https://doi.org/10.1007/s10898-007-9205-6 |
Appears in Collections: | INV - LOPT - Artículos de Revistas INV - GAM - Artículos de Revistas |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2008_Canovas_etal_JGlobOptim_final.pdf | Versión final (acceso restringido) | 213,34 kB | Adobe PDF | Open Request a copy |
Items in RUA are protected by copyright, with all rights reserved, unless otherwise indicated.