On the solvability of a functional equation

DOI10.1080/02331930903121311zbMath1217.49026OpenAlexW1964607656MaRDI QIDQ2996809

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

Publication date: 3 May 2011

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930903121311

Mathematics Subject Classification ID

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

Related Items (5)

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 ⋮ Solving a class of functional equations using fixed point theorems

Cites Work

• Some existence theorems for functional equations arising in dynamic programming
• Existence and uniqueness of solutions for two classes of 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
• Some existence theorems of common and coincidence solutions for a class of systems 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
• Solutions to two functional equations arising in dynamic programming
• Properties of solutions for certain functional equations arising in dynamic programming
• COMMON FIXED POINT THEOREMS FOR CONTRACTIVE TYPE MAPPINGS AND THEIR APPLICATIONS IN DYNAMIC PROGRAMMING
• 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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