COINCIDENCE POINTS FOR SET-VALUED MAPPINGS WITH DIRECTIONAL REGULARITY

被引：1
作者：
Zhang, Binbin [1 ]
Ouyang, Wei [2 ]
机构：
[1] Kunming Univ Sci & Technol, Sch Sci, Kunming 650500, Yunnan, Peoples R China
[2] Yunnan Normal Univ, Sch Math, Kunming 650500, Yunnan, Peoples R China
来源：
FIXED POINT THEORY | 2021年 / 22卷 / 01期
关键词：
Coincidence point; directional metric regularity; directional Aubin continuity; variational system; COVERING MAPPINGS; METRIC REGULARITY; STABILITY; PRINCIPLE; RESPECT; THEOREM;
D O I：
10.24193/fpt-ro.2021.1.27
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to investigate the interrelations between directional metric regularity and coincidence points for set-valued mappings. Under the assumption of directional metric regularity and directional Aubin continuity, new coincidence point theorems were established through iteration procedures for both local and global cases. As an application, the (global) directional Aubin continuity for the solution mapping of partial-parametrized variational system was established.
引用
收藏
页码：391 / 405
页数：15
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