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math.OC2022
On the directional asymptotic approach in optimization theory Part A: approximate, M-, and mixed-order stationarity
Matúš Benko, Patrick Mehlitz
We show that, for a fixed order , each local minimizer of a rather general nonsmooth optimization problem in Euclidean spaces is either M-stationary in the classical sense…
math.OC2022
Second-order optimality conditions for general nonconvex optimization problems and variational analysis of disjunctive systems
Matus Benko, Helmut Gfrerer, Jane Ye +2
In this paper, we propose second-order sufficient optimality conditions for a very general nonconvex constrained optimization problem, which covers many prominent mathematical prog…