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
收藏
页码：533 / 551
页数：19
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