Geodesic
Strict minimizers of order $m$ in nonsmooth optimization problems
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 2, pp. 213-232

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In the paper, some sufficient optimality conditions for strict minima of order $m$ in constrained nonlinear mathematical programming problems involving (locally Lipschitz) $(F,\rho )$-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.
Classification : 49J52, 90C26, 90C29, 90C46
Keywords: nonsmooth programming; strict local minimizer of order $m$; Clarke's generalized gradient; $(F, \rho )$-convex function of order $m$ with respect to $\theta $ 
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     title = {Strict minimizers of order $m$  in nonsmooth optimization problems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {213--232},
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Antczak, Tadeusz; Kisiel, Krzysztof. Strict minimizers of order $m$  in nonsmooth optimization problems. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 2, pp. 213-232. http://geodesic.mathdoc.fr/item/CMUC_2006__47_2_a2/