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Strict minimizers of order m in nonsmooth optimization problems

Tadeusz AntczakKrzysztof Kisiel — 2006

Commentationes Mathematicae Universitatis Carolinae

In the paper, some sufficient optimality conditions for strict minima of order m in constrained nonlinear mathematical programming problems involving (locally Lipschitz) ( F , ρ ) -convex functions of order m are presented. Furthermore, the concept of strict local minimizer of order m is also used to state various duality results in the sense of Mond-Weir and in the sense of Wolfe for such nondifferentiable optimization problems.

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