论文信息 - Existence theorems of solutions for certain classes of functional equations arising in dynamic programming

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

In this paper we study the existence, uniqueness, and iterative approximation of solutions for certain classes of functional equations arising in dynamic programming of multistage decision processes. The results presented here generalize, improve, and unify the corresponding results of other authors.

Zeqing Liu

[1] Richard Bellman,et al. A technique for the reduction of dimensionality in dynamic programming , 1982 .

[2] Chung-lie Wang. The principle and models of dynamic programming, V , 1988 .

[3] P. C. Bhakta,et al. Some existence theorems for functional equations arising in dynamic programming, II , 1984 .

[4] Richard Bellman,et al. Functional equations in dynamic programming , 1978 .

[5] S. H. Chang,et al. 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 , 1991 .

[6] R. Baskaran,et al. A note on the solution of a class of functional equations , 1986 .

[7] Some existence theorems of common and coincidence solutions for a class of systems of functional equations arising in dynamic programming , 1991 .

[8] L. Ciric,et al. A generalization of Banach’s contraction principle , 1974 .