Strict minimizers of order $m$ in nonsmooth optimization problems
Tadeusz Antczak, Krzysztof Kisiel · Czech digital mathematics library · 2006
summary: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.