Coderivatives with respect to a set of the normal cone mappings and their applications

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...

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Bibliographic Details
Published in:arXiv.org 2023-12
Main Authors: Vo, Duc Thinh, Qin, Xiaolong, Yao, Jen-Chih
Format: Article
Language:English
Subjects:
Mapping
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Summary: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.
ISSN:2331-8422