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SOME EXISTENCE THEOREMS FOR FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING
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 Title & Authors
SOME EXISTENCE THEOREMS FOR FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING
LIU ZEQING; UME JEONG SHEOK; KANG SHIN MIN;
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 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,;;;;

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2.
COMMON FIXED POINT THEOREMS WITH APPLICATIONS TO THE SOLUTIONS OF FUNCTIONAL EQUATIONS ARISING IN DYNAMIC PROGRAMMING,;;;;

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6.
Existence and Iterative Approximations of Solutions for Certain Functional Equation and Inequality, Journal of Optimization Theory and Applications, 2013, 157, 3, 716  crossref(new windwow)
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