On properties of solutions for a class of functional equations arising in dynamic programming

被引：29

作者：

Liu, Z ^{[1
]}

Ume, JS

机构：

[1] Liaoning Normal Univ, Dept Math, Dalian, Liaoning, Peoples R China

[2] Changwon natl Univ, Dept Appl Math, Chang Won, South Korea

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2003年 / 117卷 / 03期

关键词：

dynamic programming; functional equations; nonexpansive mappings;

D O I：

10.1023/A:1023945621360

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 existence, uniqueness, and iterative approximation of solutions for a class of functional equations arising in dynamic programming of multistage decision processes are discussed. Our results resolve in the affirmative an open problem posed in Ref. 1 and generalize important known results.

引用

页码：533 / 551

页数：19

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