Projectional Coderivatives and Calculus Rules
Optimization and Control
2024-10-24 v2
Abstract
This paper is devoted to the study of a newly introduced tool, projectional coderivatives and the corresponding calculus rules in finite dimensions. We show that when the restricted set has some nice properties, more specifically, is a smooth manifold, the projectional coderivative can be refined as a fixed-point expression. We will also improve the generalized Mordukhovich criterion to give a complete characterization of the relative Lipschitz-like property under such a setting. Chain rules and sum rules are obtained to facilitate the application of the tool to a wider range of problems.
Cite
@article{arxiv.2210.11706,
title = {Projectional Coderivatives and Calculus Rules},
author = {Wenfang Yao and Kaiwen Meng and Minghua Li and Xiaoqi Yang},
journal= {arXiv preprint arXiv:2210.11706},
year = {2024}
}