Stronger Kuhn-Tucker Type Conditions in Nonsmooth Multiobjective Optimization: Locally Lipschitz Case

X. F. Li and J. Z. Zhang
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X. F. Li: Jilin University
J. Z. Zhang: City University of Hong Kong

Journal of Optimization Theory and Applications, 2005, vol. 127, issue 2, No 8, 367-388

Abstract: Abstract For an inequality constrained nonsmooth multiobjective optimization problem, where the objective and constraint functions are locally Lipschitz, a nonsmooth analogue of the Maeda-type Guignard constraint qualification is given; stronger Kuhn-Tucker type necessary optimality conditions are derived that are expressed in terms of upper convexificators. Moreover, other constraint qualifications sufficient for the nonsmooth analogue are introduced and their relationships are presented.

Keywords: Nonsmooth multiobjective optimization; constraint qualifications; stronger Kuhn-Tucker conditions; locally Lipschitz functions; directional Dini derivatives; convexificators (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-005-6550-9

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