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http://dx.doi.org/10.4134/JKMS.2006.43.1.011

SOME EXISTENCE THEOREMS FOR FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING  

LIU ZEQING (Department of Mathematics Liaoning Normal University)
UME JEONG SHEOK (Department of Applied Mathematics Changwon National University)
KANG SHIN MIN (Department of Mathematics and Research Institute of Natural Science Gyeongsang National University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.1, 2006 , pp. 11-28 More about this Journal
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;
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Times Cited By Web Of Science : 2  (Related Records In Web of Science)
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