Optimality conditions for a class of composite multiobjective nonsmooth optimization problems

Li Tang () and Ke Zhao ()

Journal of Global Optimization, 2013, vol. 57, issue 2, 399-414

Abstract: In this paper, a class of composite multiobjective nonsmooth optimization problems with cone constraints is considered. Necessary optimality conditions for weak minimum are established in terms of Semi-infinite Gordan type theorem. η-generalized null space condition, which is a proper generalization of generalized null space condition, is proposed. Sufficient optimality conditions are obtained for weak minimum, Pareto minimum, Benson’s proper minimum under K-generalized invexity and η-generalized null space condition. Some examples are given to illustrate our main results. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Weak minimum; Pareto minimum; K-generalized invexity; η-generalized null space condition; Composite multiobjective nonsmooth optimization problems; 90C26; 90C29; 90C30; 90C46 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10898-012-9957-5

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