Lagrange Duality for Evenly Convex Optimization Problems
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http://hdl.handle.net/10045/62189
Title: | Lagrange Duality for Evenly Convex Optimization Problems |
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Authors: | Fajardo, Maria Dolores | Rodríguez Álvarez, Margarita | Vidal, José |
Research Group/s: | Laboratorio de Optimización (LOPT) |
Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
Keywords: | Evenly convex function | Generalized convex conjugation | Lagrange dual problem |
Knowledge Area: | Estadística e Investigación Operativa |
Issue Date: | Jan-2016 |
Publisher: | Springer Science+Business Media New York |
Citation: | Journal of Optimization Theory and Applications. 2016, 168(1): 109-128. doi:10.1007/s10957-015-0775-z |
Abstract: | An evenly convex function on a locally convex space is an extended real-valued function, whose epigraph is the intersection of a family of open halfspaces. In this paper, we consider an infinite-dimensional optimization problem, for which both objective function and constraints are evenly convex, and we recover the classical Lagrange dual problem for it, via perturbational approach. The aim of the paper was to establish regularity conditions for strong duality between both problems, formulated in terms of even convexity. |
Sponsor: | This research was partially supported by MINECO of Spain, Grant MTM2011-29064-C03-02 and by Consellería d’Educació de la Generalitat Valenciana, Spain, Pre-doc Program Vali+d, DOCV 6791/07.06.2012 Grant ACIF-2013-156. |
URI: | http://hdl.handle.net/10045/62189 |
ISSN: | 0022-3239 (Print) | 1573-2878 (Online) |
DOI: | 10.1007/s10957-015-0775-z |
Language: | eng |
Type: | info:eu-repo/semantics/article |
Rights: | © Springer Science+Business Media New York 2015. The final publication is available at Springer via http://dx.doi.org/10.1007/s10957-015-0775-z |
Peer Review: | si |
Publisher version: | http://dx.doi.org/10.1007/s10957-015-0775-z |
Appears in Collections: | INV - LOPT - Artículos de Revistas |
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2016_Fajardo_etal_JOptimTheoryAppl_final.pdf | Versión final (acceso restringido) | 361,11 kB | Adobe PDF | Open Request a copy |
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