Necessary conditions for weak efficiency for nonsmooth degenerate multiobjective optimization problems

Elena Constantin ()
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Elena Constantin: University of Pittsburgh at Johnstown

Journal of Global Optimization, 2019, vol. 75, issue 1, No 6, 129 pages

Abstract: Abstract In this paper we give primal first and second-order necessary conditions for the existence of a local weak minimum for nonsmooth multiobjective optimization problems with inequality constraints and an arbitrary constraint set. For nonsmooth multiobjective problems with inequality and degenerate equality constraints, we present primal necessary conditions and Kuhn–Tucker type dual necessary conditions under a new constraint qualification. The effectiveness of our results is illustrated on some examples.

Keywords: Tangent cone; Second-order tangent cone; Multiobjective optimization; Degenerate equality constraints; Locally Lipschitz optimization problems; Kuhn–Tucker dual necessary optimality conditions; 90C29; 49K27; 90C30; 90C48 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10898-019-00807-9

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