Existence and Boundedness of the Kuhn-Tucker Multipliers in Nonsmooth Multiobjective Optimization |
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Authors: | X F Li J Z Zhang |
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Institution: | 1.Department of Applied Mathematics, School of Mathematical Sciences,Jilin University,Changchun,China;2.BJNU-HKBU United International College,Zhuhai,China |
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Abstract: | Using the idea of upper convexificators, we propose constraint qualifications and study existence and boundedness of the Kuhn-Tucker
multipliers for a nonsmooth multiobjective optimization problem with inequality constraints and an arbitrary set constraint.
We show that, at locally weak efficient solutions where the objective and constraint functions are locally Lipschitz, the
constraint qualifications are necessary and sufficient conditions for the Kuhn-Tucker multiplier sets to be nonempty and bounded
under certain semiregularity assumptions on the upper convexificators of the functions. |
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Keywords: | |
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