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On the Existence of a Saddle Value

F. Bonenti and Juan Enrique Martinez-Legaz
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F. Bonenti: Università degli Studi di Brescia

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 3, No 6, 785-792

Abstract: Abstract 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.

Keywords: Saddle value; Lagrangian duality; Convex programming (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10957-014-0665-9

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