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On Properties of Solutions for a Class of Functional Equations Arising in Dynamic Programming

Author

Listed:
  • Z. Liu

    (Liaoning Normal University)

  • J.S. Ume

    (Changwon National University)

Abstract

The existence, uniqueness, and iterative approximation of solutions for a class of functional equations arising in dynamic programming of multistage decision processes are discussed. Our results resolve in the affirmative an open problem posed in Ref. 1 and generalize important known results.

Suggested Citation

  • Z. Liu & J.S. Ume, 2003. "On Properties of Solutions for a Class of Functional Equations Arising in Dynamic Programming," Journal of Optimization Theory and Applications, Springer, vol. 117(3), pages 533-551, June.
    • Handle: RePEc:spr:joptap:v:117:y:2003:i:3:d:10.1023_a:1023945621360
    DOI: 10.1023/A:1023945621360
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    Cited by:

    1. Deepmala, 2014. "Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-9, April.
    2. Zeqing Liu & Haijiang Dong & Sun Young Cho & Shin Min Kang, 2013. "Existence and Iterative Approximations of Solutions for Certain Functional Equation and Inequality," Journal of Optimization Theory and Applications, Springer, vol. 157(3), pages 716-736, June.
    3. Zeqing Liu & Haijiang Dong & Shin Min Kang & Sunhong Lee, 2013. "Properties of Solutions for a Functional Equation Arising in Dynamic Programming," Journal of Optimization Theory and Applications, Springer, vol. 157(3), pages 696-715, June.

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