On the Existence of a Saddle Value

F. Bonenti; J. E. Martínez-Legaz

doi:https://doi.org/10.1007/s10957-014-0665-9

On the Existence of a Saddle Value

F. Bonenti, J. E. Martínez-Legaz

Department of Economics and Economic History

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

1 Citation (Scopus)

Abstract

© 2014, Springer Science+Business Media New York. In this work, we achieve a complete characterization of the existence of a saddle value, for bifunctions which are convex, proper, and lower semi continuous in their first argument, by considering new suitably defined notions of special directions of recession. As special cases, we obtain some recent results of Lagrangian duality theory on zero duality gap for convex programs.

Original language	English
Pages (from-to)	785-792
Journal	Journal of Optimization Theory and Applications
Volume	165
Issue number	3
DOIs	https://doi.org/10.1007/s10957-014-0665-9
Publication status	Published - 1 Jun 2015

Keywords

Convex programming
Lagrangian duality
Saddle value

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KW - Convex programming

KW - Lagrangian duality

KW - Saddle value

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On the Existence of a Saddle Value

Abstract

Keywords

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