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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Liaoning Normal University, Dalian, Liaoning, PRC

    Z. Liu (Professor)

  2. Department of Applied Mathematics, Changwon National University, Changwon, Korea

    J.S. Ume (Professor)

Authors
  1. Z. Liu
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  2. J.S. Ume
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Liu, Z., Ume, J. On Properties of Solutions for a Class of Functional Equations Arising in Dynamic Programming. Journal of Optimization Theory and Applications 117, 533–551 (2003). https://doi.org/10.1023/A:1023945621360

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