On properties of solutions for a class of functional equations arising in dynamic programming

DOI10.1023/A:1023945621360zbMath1045.90075MaRDI QIDQ1411521

Ume, Jeong Sheok, Liu, Zeqing

Publication date: 29 October 2003

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Dynamic programmingfunctional equationsnonexpansive mappings

Mathematics Subject Classification ID

Decision theory (91B06) Dynamic programming in optimal control and differential games (49L20) Dynamic programming (90C39) Functional equations for functions with more general domains and/or ranges (39B52)

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Cites Work

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• Some existence theorems for functional equations arising in dynamic programming
• Some existence theorems for functional equations arising in dynamic programming. II
• Coupled fixed points for mixed monotone condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming
• Functional equations in dynamic programming
• Fixed point theorems for compatible mappings with applications to the solutions of functional equations arising in dynamic programmings
• Methods of nonlinear analysis. Vol. II
• A note on the solution of a class of functional equations
• Existence theorems of solutions for certain classes of functional equations arising in dynamic programming

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