First-and second-order optimality conditions for mathematical programs with vanishing constraints
نویسندگان
چکیده
منابع مشابه
First- and Second-order Optimality Conditions for Mathematical Programs with Vanishing Constraints
We consider a special class of optimization problems that we call Mathematical Programs with Vanishing Constraints, MPVC for short, which serves as a unified framework for several applications in structural and topology optimization. Since an MPVC most often violates stronger standard constraint qualification, first-order necessary optimality conditions, weaker than the standard KKT-conditions,...
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We consider a difficult class of optimization problems that we call a mathematical program with vanishing constraints. Problems of this kind arise in various applications including optimal topology design problems of mechanical structures. We show that some standard constraint qualifications like LICQ and MFCQ usually do not hold at a local minimum of our program, whereas the Abadie constraint ...
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 2007
ISSN: 0862-7940,1572-9109
DOI: 10.1007/s10492-007-0029-y