Error bound moduli for conic convex systems on banach spaces

被引：13

作者：

Zheng, XY ^{[1
]}

Ng, KF

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

MATHEMATICS OF OPERATIONS RESEARCH | 2004年 / 29卷 / 02期

关键词：

error bound; conic convex function; convex inequality system; error bound modulus; Banach space;

D O I：

10.1287/moor.1030.0088

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 give two explicit formulas which express the error bound moduli for conic convex systems, one in terms of directional derivative, and the other in terms of the coderivative. As applications, we study error bounds for systems of infinitely many convex inequalities.

引用

页码：213 / 228

页数：16

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