Local-Global Minimum Property in Unconstrained Minimization Problems

被引：5

作者：

Burai, Pal ^{[1
]}

机构：

[1] Tech Univ Berlin, Dept Math, D-10623 Berlin, Germany

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2014年 / 162卷 / 01期

基金：

匈牙利科学研究基金会;

关键词：

Nonlinear optimization; Non-convex optimization; First-order sufficient condition; Generalized convexity; Local-global minimum property; ARCWISE-CONNECTED FUNCTIONS;

D O I：

10.1007/s10957-013-0432-3

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：

The main goal of this paper is to prove some new results and extend some earlier ones about functions, which possess the so-called local-global minimum property. In the last section, we show an application of these in the theory of calculus of variations.

引用

页码：34 / 46

页数：13

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[2]

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[3]

[Anonymous], 2010, Graduate studies in Mathematics

[4]

[Anonymous], 2007, BIRKHA USER, DOI DOI 10.1007/978-3-0348-0387-8