Coderivatives at infinity of set-valued mappings
Optimization and Control
2023-12-01 v1
Abstract
In this paper, the concept of coderivatives at infinity of set-valued mappings is introduced. Well-posedness properties at infinity of set-valued mappings as well as Mordukhovich's criterion at infinity are established. Fermat's rule at infinity in set-valued optimization is also provided. The obtained results, which give new information even in the classical cases of smooth single-valued mappings, provide complete characterizations of the properties under consideration in the setting at infinity of set-valued mappings.
Keywords
Cite
@article{arxiv.2311.18370,
title = {Coderivatives at infinity of set-valued mappings},
author = {Do Sang Kim and Pham Tien Son and Nguyen Minh Tung and Nguyen Van Tuyen},
journal= {arXiv preprint arXiv:2311.18370},
year = {2023}
}