GENERALIZED DIFFERENTIAL-CALCULUS FOR NONSMOOTH AND SET-VALUED MAPPINGS

被引：204

作者：

MORDUKHOVICH, BS

机构：

[1] Department of Mathematics, Wayne State University, Detroit

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1994年 / 183卷 / 01期

关键词：

D O I：

10.1006/jmaa.1994.1144

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study some generalized differentiability concepts for multifunctions and non-smooth mappings in finite dimensions. The most attention is paid to the so-called coderivative of multifunctions introduced earlier by the author. This coderivative has many useful applications to optimization and control problems, to sensitivity analysis for generalized equations and variational inequalities, etc. In this paper we develop a rich calculus for the coderivative and related subdifferential constructions using an extremal (variational) approach. (C) 1994 Academic Press, Inc.

引用

页码：250 / 288

页数：39

共 29 条

[1]

Aubin J.P., 1990, SET-VALUED ANAL, V2, DOI 10.1007/978-0-8176-4848-0

[2] LIPSCHITZ BEHAVIOR OF SOLUTIONS TO CONVEX MINIMIZATION PROBLEMS [J].