Statistical cluster points and turnpike theorem in nonconvex problems

被引：49

作者：

Mamedov, MA ^{[1
]}

Pehlivan, S ^{[1
]}

机构：

[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 256卷 / 02期

关键词：

turnpike; bounded path; statistical cluster point; nonconvex function; multivalued mapping;

D O I：

10.1006/jmaa.2000.7061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we develop the method suggested by S. Pchlivan and M. A. Mamedov ("Statistical Cluster Points and Turnpike," submitted), where it was proved that under some conditions optimal paths have the same unique stationary limit point-stationary cluster point. This notion was introduced by J. A. Fridy (1993, Proc. Amer. Math. Sec. 118, 1187-1192) and it turns out to he a very useful and interesting tool in turnpike theory. The purpose of this paper is to avoid the convexity conditions. Here the turnpike theorem is proved under conditions that are quite different from those of Pehlivan and Mamedov and may be satisfied for the mappings with nonconvex images and for nonconcave functions in the definition of functionals. (C) 2001 Academic Press.

引用

页码：686 / 693

页数：8