Properties of solutions for certain functional equations arising in dynamic programming

DOI10.1007/s10898-005-2605-6zbMath1091.49021OpenAlexW2045704327MaRDI QIDQ2494483

Kang, Shin Min, Liu, Zeqing

Publication date: 28 June 2006

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-005-2605-6

zbMATH Keywords

dynamic programmingfunctional equationnonnegative solutionnonexpansive mappingsolutioniterative approximationnonpositive solution

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Dynamic programming (90C39) Functional equations for functions with more general domains and/or ranges (39B52) Existence theories for problems in abstract spaces (49J27)

Related Items

Fixed point theorems for mappings satisfying contractive conditions of integral type and applications, Properties of solutions for a functional equation arising in dynamic programming, Existence and iterative approximations of solutions for certain functional equation and inequality, Solvability and iterative approximations for a functional equation, On the solvability of a functional equation, Solving a class of functional equations using fixed point theorems, Solvability and algorithms for functional equations originating from dynamic programming, Solvability and convergence of iterative algorithms for certain functional equations arising in dynamic programming, Existence and uniqueness of solutions for two classes of functional equations arising in dynamic programming

Cites Work

• 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
• Dynamic programming and maximum principle for discrete Goursat systems
• 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
• On properties of solutions for a class of functional equations arising in dynamic programming
• On solvability of functional equations and system of functional equations arising in dynamic programming
• Existence theorems of solutions for certain classes of functional equations arising in dynamic programming