@book{add418c34df1439cbec1efb7d5200253,

title = "On generalized semi-infinite optimization and bilevel optimization",

abstract = "The paper studies the connections and differences between bilevel problems (BL) and generalized semi-infinite problems (GSIP). Under natural assumptions (GSIP) can be seen as a special case of a (BL). We consider the so-called reduction approach for (BL) and (GSIP) leading to optimality conditions and Newton-type methods for solving the problems. We show by a structural analysis that for (GSIP)-problems the regularity assumptions for the reduction approach can be expected to hold generically at a solution but for general (BL)-problems not. The genericity behavior of (BL) and (GSIP) is in particular studied for linear problems.",

keywords = "MSC-90C30, MSC-90C31, IR-65731, EWI-3364, MSC-90C34",

author = "O. Stein and Still, {Georg J.}",

note = "Imported from MEMORANDA",

year = "2000",

language = "Undefined",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1544",

}