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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)
  • Published : 2006.01.01

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

References

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  3. Solvability and Algorithms for Functional Equations Originating from Dynamic Programming vol.2011, 2011, https://doi.org/10.1155/2011/701519
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