Transversality in Variational Analysis

被引：7
|
作者：
Ioffe, Alexander D. [1 ]
机构：
[1] Technion, Dept Math, IL-32000 Haifa, Israel
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2017年 / 174卷 / 02期
关键词：
Variational analysis; Set-valued mapping; Metric regularity; Subregularity; Subtransversality; Intrinsic transversality; METRIC REGULARITY; CONVERGENCE; THEOREM;
D O I：
10.1007/s10957-017-1130-3
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We discuss various aspects of newly developed extension of the classical transversality theory to variational analysis and optimization theory. In particular, we give interpretations in transversality terms of some key results (relating to subdifferential calculus, necessary optimality conditions and linear convergence of alternating projections) and prove a set-valued version of the Thom transversality theorem for semi-algebraic objects.
引用
收藏
页码：343 / 366
页数：24
相关论文
共 50 条
12345