TY - JOUR
T1 - On the Existence of a Saddle Value
AU - Bonenti, F.
AU - Martínez-Legaz, J. E.
PY - 2015/6/1
Y1 - 2015/6/1
N2 - © 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.
AB - © 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.
KW - Convex programming
KW - Lagrangian duality
KW - Saddle value
UR - https://www.scopus.com/pages/publications/84939983142
U2 - 10.1007/s10957-014-0665-9
DO - 10.1007/s10957-014-0665-9
M3 - Article
SN - 0022-3239
VL - 165
SP - 785
EP - 792
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
IS - 3
ER -