Directional Tykhonov well-posedness for optimization problems and variational inequalities

Autor:	Hoang, Vo Ke, Long, Vo Si Trong
Rok vydání:	2023
Předmět:	Mathematics - Optimization and Control 49K40 49J40 49J53 49S05 90C25
Druh dokumentu:	Working Paper
Popis:	By using the so-called minimal time function, we propose and study a novel notion of directional Tykhonov well-posedness for optimization problems, which is an extension of the widely acknowledged notion of Tykhonov. In this way, we first provide some characterizations of this notion in terms of the diameter of level sets and admissible functions. Then, we investigate relationships between the level sets and admissible functions mentioned above. Finally, we apply the technology developed before to study directional Tykhonov well-posedness for variational inequalities. Several examples are presented as well to illustrate the applicability of our results. Comment: 29
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.00515 Zobrazit plný text záznamu View this record from Arxiv