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Nonsmooth multiobjective programming and constraint qualifications
Authors:M Golestani  S Nobakhtian
Institution:1. Department of Mathematics , University of Isfahan , Isfahan , Iran m.golestani@gmail.com;3. Department of Mathematics , University of Isfahan , Isfahan , Iran
Abstract:We consider a nonsmooth multiobjective programming problem with inequality and set constraints. By using the notion of convexificator, we extend the Abadie constraint qualification, and derive the strong Kuhn-Tucker necessary optimality conditions. Some other constraint qualifications have been generalized and their interrelations are investigated.
Keywords:constraint qualification  multiobjective optimization  nonsmooth analysis  necessary conditions
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