SOME EXISTENCE THEOREMS FOR FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING

- Journal title : Journal of the Korean Mathematical Society
- Volume 43, Issue 1, 2006, pp.11-28
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2006.43.1.011

Title & Authors

SOME EXISTENCE THEOREMS FOR FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING

LIU ZEQING; UME JEONG SHEOK; KANG SHIN MIN;

LIU ZEQING; UME JEONG SHEOK; KANG SHIN MIN;

Abstract

The existence, uniqueness and iterative approximation of solutions for a few classes of functional equations arising in dynamic programming of multistage decision processes are discussed. The results presented in this paper extend, improve and unify the results due to Bellman [2, 3], Bhakta-Choudhury [6], Bhakta-Mitra [7], and Liu [12].

Keywords

dynamic programming;nonexpansive mapping;functional equation;

Language

English

Cited by

1.

COMMON FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS OF TYPE (A) AND (P) WITH APPLICATIONS IN DYNAMIC PROGRAMMING,Jiang, Guojing;Liu, Min;Lee, Suk-Jin;Kang, Shin-Min;

East Asian mathematical journal , 2009. vol.25. 1, pp.11-26

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