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J. Korean Math. Soc. 2006; 43(1): 11-28
Printed January 1, 2006
Copyright © The Korean Mathematical Society.
Some existence theorems for functional equations arising in dynamic programming
Zeqing Liu, Jeong Sheok Ume, and Shin Min Kang
Liaoning Normal University, Changwon National University, Gyeongsang National University
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
MSC numbers: 49L20, 49L99, 90C39
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