A Note on the Existence of Nonsmooth Nonconvex Optimization Problems

被引：8

作者：

Ito, Kazufumi ^{[1
]}

Kunisch, Karl ^{[2
]}

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

[2] Karl Franzens Univ Graz, Inst Math, A-8010 Graz, Austria

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2014年 / 163卷 / 03期

基金：

奥地利科学基金会;

关键词：

Nonsmooth; Nonconvex optimization; Coerciveness;

D O I：

10.1007/s10957-014-0552-4

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：

Sufficient conditions for the existence of a solution to an abstract optimization problem in Banach spaces are given, which do not rely on convexity, regularity properties or a straightforward coerciveness assumption. Applications to sparsity-constrained optimization and to problems from mechanics are provided.

引用

页码：697 / 706

页数：10