PARTIAL SECOND-ORDER SUBDIFFERENTIALS IN VARIATIONAL ANALYSIS AND OPTIMIZATION

被引：13
|
作者：
Mordukhovich, Boris S. [1 ,2 ]
Nguyen Mau Nam [3 ]
Nguyen Thi Yen Nhi [1 ]
机构：
[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
[2] King Fahd Univ Petr & Minerals, Dhahran 31261, Saudi Arabia
[3] Portland State Univ, Fariborz Maseeh Dept Math & Stat, Portland, OR 97207 USA
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2014年 / 35卷 / 7-9期
基金：
美国国家科学基金会; 澳大利亚研究理事会;
关键词：
Coderivatives; Generalized differentiation; Parametric constrained optimization; Second-order subdifferentials; Stability; Stationary point mappings; Variational analysis; NORMAL CONE MAPPINGS; TILT STABILITY; GENERALIZED EQUATIONS; METRIC REGULARITY; INEQUALITIES; CONSTRAINTS; CODERIVATIVES; OPTIMALITY; CALCULUS; SYSTEMS;
D O I：
10.1080/01630563.2014.895747
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article presents a systematic study of partial second-order subdifferentials for extended-real-valued functions, which have already been applied to important issues of variational analysis and constrained optimization in finite-dimensional spaces. The main results concern developing extended calculus rules for these second-order constructions in both finite-dimensional and infinite-dimensional frameworks. We also provide new applications of partial second-order subdifferentials to Lipschitzian stability of stationary point mappings in parametric constrained optimization and discuss some other applications.
引用
收藏
页码：1113 / 1151
页数：39
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