Necessary and sufficient constraint qualifications for solvability of systems of infinite convex inequalities
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Title: | Necessary and sufficient constraint qualifications for solvability of systems of infinite convex inequalities |
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Authors: | Goberna, Miguel A. | Jeyakumar, Vaithilingam | López Cerdá, Marco A. |
Research Group/s: | Programación Semi-infinita |
Center, Department or Service: | Universidad de Alicante. Departamento de Estadística e Investigación Operativa | University of New South Wales. Department of Applied Mathematics |
Keywords: | Constraint qualifications | Infinite convex inequalities | Solvability |
Knowledge Area: | Estadística e Investigación Operativa |
Issue Date: | 28-Dec-2006 |
Publisher: | Elsevier |
Citation: | GOBERNA TORRENT, Miguel Ángel; JEYAKUMAR, Vaithilingam; LÓPEZ CERDÁ, Marco Antonio. “Necessary and sufficient constraint qualifications for solvability of systems of infinite convex inequalities”. Nonlinear Analysis: Theory, Methods & Applications. Vol. 68, No. 5 (1 March 2008). ISSN 0362-546X, pp. 1184-1194 |
Abstract: | In this paper we present constraint qualifications which completely characterize the Farkas–Minkowski and the locally Farkas–Minkowski convex (possibly infinite) inequality systems posed in topological vector spaces. The number of constraints and the dimension of the linear space are arbitrary (possibly infinite). The constraint qualifications considered in this paper are expressed in terms of the solvability of certain parametric convex (linear) systems and the uniform strong duality or the uniform min–max duality relative to the Lagrange (Haar) dual problems of suitable convex (linear) parametric optimization problems. |
Sponsor: | DGES and FEDER, Grant MTM2005-08572-C03-01 and a grant from the Australian Research Council. |
URI: | http://hdl.handle.net/10045/15411 |
ISSN: | 0362-546X (Print) | 1873-5215 (Online) |
DOI: | 10.1016/j.na.2006.12.014 |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Peer Review: | si |
Publisher version: | http://dx.doi.org/10.1016/j.na.2006.12.014 |
Appears in Collections: | INV - LOPT - Artículos de Revistas |
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Goberna_Necessary_Rev.pdf | Versión revisada (acceso libre) | 154,14 kB | Adobe PDF | Open Preview |
Goberna_Necessary_Final.pdf | Versión final (acceso restringido) | 239,6 kB | Adobe PDF | Open Request a copy |
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