Characterizations of Some Transversality-Type Properties

被引：3
|
作者：
Apostolov, Stoyan [1 ]
Bivas, Mira [1 ,2 ]
Ribarska, Nadezhda [1 ,2 ]
机构：
[1] Sofia Univ, Fac Math & Informat, James Bourchier Boul 5, Sofia 1126, Bulgaria
[2] Bulgarian Acad Sci, Inst Math & Informat, G Bonchev Str,Bl 8, Sofia 1113, Bulgaria
来源：
SET-VALUED AND VARIATIONAL ANALYSIS | 2022年 / 30卷 / 03期
关键词：
(Sub)transversality; (Sub)regularity; Intrinsic transversality; Tangential transversality; Primal space characterizations; Function slopes; ERROR-BOUNDS; REGULARITY; COLLECTIONS; STABILITY;
D O I：
10.1007/s11228-022-00633-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Primal characterizations (necessary and sufficient conditions) and slope characterizations of subtransversality, intrinsic transversality and transversality are obtained. The metric nature of intrinsic transversality is established. The relation of intrinsic transversality and tangential transversality is clarified. The equivalence of our characterization of intrinsic transversality and the primal characterization of intrinsic transversality of Thao et al. in the setting of Hilbert spaces is proved, while in general Banach spaces our characterization is less restrictive.
引用
收藏
页码：1041 / 1060
页数：20
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