On Properties of Solutions for a Class of Functional Equations Arising in Dynamic Programming |
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| Authors: | Liu Z Ume JS |
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| Institution: | (1) Department of Mathematics, Liaoning Normal University, Dalian, Liaoning, PRC;(2) Department of Applied Mathematics, Changwon National University, Changwon, Korea |
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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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| Keywords: | Dynamic programming functional equations nonexpansive mappings |
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