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Some Results on Necessary Conditions for Quasidifferentiable MPEC
Zun-Quan Xia * #,Chun-Ling Song,Li-Wei Zhang
Dalian University of Technology
*Correspondence author
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Funding: 教育部博士点基金、国家自然科学基金(No.20020141013、10471015)
Opened online:17 June 2005
Accepted by: none
Citation: Zun-Quan Xia,Chun-Ling Song,Li-Wei Zhang.Some Results on Necessary Conditions for Quasidifferentiable MPEC[OL]. [17 June 2005] http://en.paper.edu.cn/en_releasepaper/content/2224
 
 
Two main results of necessary conditions of optimality for two kinds of problems, bilevel optimization and quasidifferentiable MPEC, are presented via Devyanov sum of quasidifferentials. Lagrange multipliers are independent of the choices of quasidifferentials and supergradients.
Keywords:Nonsmooth optimization, quasidifferentiable function, quasidifferentiable optimization, bilevel optimization, MPEC, Demyanov difference(sum), optimality conditions
 
 
 

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