Existence and Uniqueness of Solutions for two Classes of Functional Equations Arising in Dynamic Programming

被引：0
作者：
Ze-qing Liu
Shin Min Kang
机构：
[1] Liaoning Normal University,Department of Mathematics
[2] Gyeongsang National University,Department of Mathematics, and The Research Institute of Natural Science
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2007年 / 23卷
关键词：
Functional equation; dynamic programming; fixed point; successive approximation; nonexpansive mapping; 49L20; 49L99; 90C39;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we establish the existence, uniqueness and iterative approximation of solutions for two classes of functional equations arising in dynamic programming of multistage decision processes. The results presented here extend, and unify the corresponding results due to Bellman, Bhakta and Choudhury, Bhakta and Mitra, Liu and others.
引用
收藏
页码：195 / 208
页数：13
相关论文
共 18 条
[1]  
Belbas undefined(1991)undefined J. Math. Anal. Appl. 161 57-undefined
[2]  
Bellman undefined(1978)undefined Aequationes Math. 17 1-undefined
[3]  
Bellman undefined(1982)undefined J. Math. Anal. Appl. 88 543-undefined
[4]  
Bhakta undefined(1988)undefined J. Math. Anal. Appl. 131 217-undefined
[5]  
Bhakta undefined(1984)undefined J. Math. Anal. Appl. 98 348-undefined
[6]  
Boyd undefined(1969)undefined Proc. Amer. Math. Soc. 20 458-undefined
[7]  
Chang undefined(1991)undefined J. Math. Anal. Appl. 160 468-undefined
[8]  
Huang undefined(1997)undefined Int. J. Math. & Math. Sci. 20 673-undefined
[9]  
Liu undefined(1999)undefined Acta Sci. Math. 65 359-undefined
[10]  
Liu undefined(1999)undefined Acta Sci. Math. 65 371-undefined
12