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arXiv · 2312.15834

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

Vo Duc Thinh·Xiaolong Qin·Jen-Chih Yao
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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.

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Vo Duc Thinh, Xiaolong Qin, Jen-Chih Yao. 2023-12-26. Coderivatives with respect to a set of the normal cone mappings and their applications. https://arxiv.org/abs/2312.15834

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