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arXiv · 2311.18370

Coderivatives at infinity of set-valued mappings

Do Sang Kim·Pham Tien Son·Nguyen Minh Tung·Nguyen Van Tuyen
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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.

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Do Sang Kim, Pham Tien Son, Nguyen Minh Tung, Nguyen Van Tuyen. 2023-11-30. Coderivatives at infinity of set-valued mappings. https://arxiv.org/abs/2311.18370

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