Existence theorems of solutions for certain classes of functional equations arising in dynamic programming

DOI10.1006/JMAA.2001.7551zbMath1018.90064OpenAlexW2064863376MaRDI QIDQ5953085

Liu, Zeqing

Publication date: 15 September 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7551

zbMATH Keywords

dynamic programmingfixed pointsolutionsystems of functional equationscoincidence solutions

Mathematics Subject Classification ID

Dynamic programming (90C39) Functional equations for functions with more general domains and/or ranges (39B52)

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Cites Work

• Unnamed Item
• Some existence theorems for functional equations arising in dynamic programming
• Some existence theorems for functional equations arising in dynamic programming. II
• A technique for the reduction of dimensionality in dynamic programming
• 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
• The principle and models of dynamic programming. V
• The principle and models of dynamic programming. II
• The principle and models of dynamic programming. III
• Methods of nonlinear analysis. Vol. II
• A note on the solution of a class of functional equations
• A Generalization of Banach's Contraction Principle

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