BILEVEL OPTIMIZATION PROBLEMS IN TOPOLOGICAL SPACES
Ding Xie-ping, Yeong‐Cheng Liou · Taiwanese Journal of Mathematics · 2006
In this paper, we introduce and study the bilevel optimization problems in topological spaces without linear structure. For these problems, we establish two models which are different in the feasible region setting of lower-level problems. Some new existence results are obtained in rather weak conditions. These theorems improve and generalize the corresponding results of bilevel optimization in the literatures.