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• W3036402885 abstract "Based on the tools of limiting variational analysis, we derive a sequential necessary optimality condition for nonsmooth mathematical programs which holds without any additional assumptions. In order to ensure that stationary points in this new sense are already Mordukhovich-stationary, the presence of a constraint qualification which we call AM-regularity is necessary. We investigate the relationship between AM-regularity and other constraint qualifications from nonsmooth optimization like metric (sub-)regularity of the underlying feasibility mapping. Our findings are applied to optimization problems with geometric and, particularly, disjunctive constraints. This way, it is shown that AM-regularity recovers recently introduced cone-continuity-type constraint qualifications, sometimes referred to as AKKT-regularity, from standard nonlinear and complementarity-constrained optimization. Finally, we discuss some consequences of AM-regularity for the limiting variational calculus." @default.
• W3036402885 created "2020-06-25" @default.
• W3036402885 creator A5019313097 @default.
• W3036402885 date "2020-12-15" @default.
• W3036402885 modified "2023-10-16" @default.
• W3036402885 title "Asymptotic stationarity and regularity for nonsmooth optimization problems" @default.
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• W3036402885 doi "https://doi.org/10.46298/jnsao-2020-6575" @default.
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