On an exact penality result and new constraint qualifications for mathematical programs with vanishing constraints
نویسندگان
چکیده
منابع مشابه
Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications
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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Mathematical programs with equilibrium (or complementarity) constraints (MPECs for short) form a difficult class of optimization problems. The standard KKT conditions are not always necessary optimality conditions due to the fact that suitable constraint qualifications are often violated. Alternatively, one can therefore use the Fritz John-approach to derive necessary optimality conditions. Whi...
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And out of the confusion Where the river meets the sea Something new would arrive Something better would arrive... " Acknowledgements The doctoral thesis at hand is the result of my research during the time as a Ph.D. student at the Department of Mathematics at the University of Würzburg. In a long-term project like this one, there are, of course, several ups and downs, and hence one is lucky t...
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ژورنال
عنوان ژورنال: YUJOR
سال: 2019
ISSN: 0354-0243,1820-743X
DOI: 10.2298/yjor180615018n