Error bounds and metric subregularity

被引：68
|
作者：
Kruger, Alexander Y. [1 ]
机构：
[1] Federat Univ Australia, Sch Sci Informat Technol & Engn, Ctr Informat & Appl Optimisat, Ballarat, Vic, Australia
来源：
OPTIMIZATION | 2015年 / 64卷 / 01期
基金：
澳大利亚研究理事会;
关键词：
54C60; 49J52; 47H04; 58C06; 49J53; error bounds; metric subregularity; metric regularity; slope; calmness; LOWER SEMICONTINUOUS FUNCTIONS; OPTIMALITY CONDITIONS; SUFFICIENT CONDITIONS; REGULARITY; CALMNESS; STABILITY; INCLUSIONS; MAPPINGS; SYSTEMS;
D O I：
10.1080/02331934.2014.938074
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：
Necessary and sufficient criteria for metric subregularity (or calmness) of set-valued mappings between general metric or Banach spaces are treated in the framework of the theory of error bounds for a special family of extended real-valued functions of two variables. A classification scheme for the general error bound and metric subregularity criteria is presented. The criteria are formulated in terms of several kinds of primal and subdifferential slopes.
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页码：49 / 79
页数：31
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