International Journal of Applied Mathematical Sciences
Open Access
  • Year: 2006
  • Volume: 3
  • Issue: 1

A Fixed Point Theorem and its Application in Dynamic Programming

  • Author:
  • Zeqing Liu1, Zhenyu Guo1, Shin Min Kang2,, Soo Hak Shim3
  • Total Page Count: 9
  • Page Number: 11 to 19

1Department of Mathematics, Liaoning Normal University, P. O. Box 200, Dalian, Liaoning 116029, People's Republic of China. Email: zeqingliu@dl.cn, zhenyuguo@163.com

2Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 660701, Korea. Email: smkang@nongae.gsnu.ac.kr

3Research Institute of Natural Science, Gyeongsang National University, Jinju 660701, Korea. Email: math@nongae.gsnu.ac.kr

*Corresponding author.

AMS subject classification: 19L20, 49L99, 90C39.

Abstract

A fixed point theorem for a new contractive type mapping involving a countable family of pseudometrics is established. As its application, the existence, unique ness and iterative approximation of solution for a functional equation arising in dynamic programming of multistage decision processes are given.

Keywords

Fixed point, iterative approximation, solution, functional equation, dynamic programming