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

Z. Liu and J.S. Ume
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Z. Liu: Liaoning Normal University
J.S. Ume: Changwon National University

Journal of Optimization Theory and Applications, 2003, vol. 117, issue 3, No 6, 533-551

Abstract: 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.

Keywords: Dynamic programming; functional equations; nonexpansive mappings (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (3)

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DOI: 10.1023/A:1023945621360

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