Duality in D.C. Programming: The Case of Several D.C. Constraints

Juan Enrique Martínez-Legaz; Michel Volle

doi:https://doi.org/10.1006/jmaa.1999.6496

Duality in D.C. Programming: The Case of Several D.C. Constraints

Juan Enrique Martínez-Legaz, Michel Volle

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

54 Citations (Scopus)

Abstract

We introduce a duality scheme for the problem of minimizing the difference of two extended real-valued convex functions (d.c. functions) under finitely many d.c. constraints in terms of the Legendre-Fenchel conjugates of the involved convex functions. © 1999 Academic Press.

Original language	English
Pages (from-to)	657-671
Journal	Journal of Mathematical Analysis and Applications
Volume	237
DOIs	https://doi.org/10.1006/jmaa.1999.6496
Publication status	Published - 15 Sep 1999

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abstract = "We introduce a duality scheme for the problem of minimizing the difference of two extended real-valued convex functions (d.c. functions) under finitely many d.c. constraints in terms of the Legendre-Fenchel conjugates of the involved convex functions. {\textcopyright} 1999 Academic Press.",

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AB - We introduce a duality scheme for the problem of minimizing the difference of two extended real-valued convex functions (d.c. functions) under finitely many d.c. constraints in terms of the Legendre-Fenchel conjugates of the involved convex functions. © 1999 Academic Press.

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