Some existence theorems for functional equations and system of functional equations arising in dynamic programming

DOI10.11650/twjm/1500405965zbMath1215.49008OpenAlexW4230387699MaRDI QIDQ532964

Liu, Zeqing, Ume, Jeong Sheok, Kang, Shin Min

Publication date: 6 May 2011

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405965

zbMATH Keywords

dynamic programming functional equation system of functional equations

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Iterative procedures involving nonlinear operators (47J25) Dynamic programming (90C39) Hamilton-Jacobi theories (49L99) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (9)

On Solvability for Certain Functional Equations Arising in Dynamic Programming ⋮ Some common fixed points for \(\mathcal{JHR}\)-operator pairs in non-Archimedean Menger \(PM\)-spaces with application ⋮ 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 ⋮ \(\mathcal{J} \mathcal{H}\)-operator pairs with application to functional equations arising in dynamic programming ⋮ \(\alpha\)-coupled fixed points and their application in dynamic programming ⋮ Generalized coupled fixed points and its application to a class of systems of functional equations arising in dynamic programming

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