No-gap second-order conditions under $n$-polyhedric constraints and finitely many nonlinear constraints
Optimization and Control
2019-02-22 v1
Abstract
We consider an optimization problem subject to an abstract constraint and finitely many nonlinear constraints. Using the recently introduced concept of -polyhedricity, we are able to provide second-order optimality conditions under weak regularity assumptions. In particular, we prove necessary optimality conditions of first and second order under the constraint qualification of Robinson, Zowe and Kurcyusz. Similarly, sufficient optimality conditions are stated. The gap between both conditions is as small as possible.
Keywords
Cite
@article{arxiv.1902.07750,
title = {No-gap second-order conditions under $n$-polyhedric constraints and finitely many nonlinear constraints},
author = {Gerd Wachsmuth},
journal= {arXiv preprint arXiv:1902.07750},
year = {2019}
}