Coderivatives with respect to a set of the normal cone mappings and their applications
Optimization and Control
2023-12-27 v1
Abstract
Establishing explicit formulas of coderivatives with respect to a set of the normal cone mapping to a polyhedron, the solution set of a variational inequalities system, is one of the main goals of this paper. By using our coderivative formulas, we provide a characteristic of the Aubin property with respect to a set of that normal cone mapping and thereby give necessary optimality conditions for simple bilevel optimization problems under weak qualification conditions.
Keywords
Cite
@article{arxiv.2312.15834,
title = {Coderivatives with respect to a set of the normal cone mappings and their applications},
author = {Vo Duc Thinh and Xiaolong Qin and Jen-Chih Yao},
journal= {arXiv preprint arXiv:2312.15834},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2311.08741