EXISTENCE THEOREMS FOR SADDLE POINTS OF SET-VALUED MAPS VIA NONLINEAR SCALARIZATION METHODS (Nonlinear Analysis and Convex Analysis)
Issei Kuwano, Tamaki Tanaka, Syuuji Yamada · Kyoto University Research Information Repository (Kyoto University) · 2011
In the paper, we introduce five types of concepts for saddle points of set-valued maps and show existence theorem for these saddle points by using nonlinear scalarizing functions for sets introduced by Kuwano, Tanaka, and Yamada in 2009.