COMMON FIXED POINT THEOREMS FOR CONTRACTIVE TYPE MAPPINGS AND THEIR APPLICATIONS IN DYNAMIC PROGRAMMING

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 45, Issue 3, 2008, pp.573-585
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2008.45.3.573

Title & Authors

COMMON FIXED POINT THEOREMS FOR CONTRACTIVE TYPE MAPPINGS AND THEIR APPLICATIONS IN DYNAMIC PROGRAMMING

Liu, Zeqing; Wang, Lili; Kim, Hyeong-Kug; Kang, Shin-Min;

Liu, Zeqing; Wang, Lili; Kim, Hyeong-Kug; Kang, Shin-Min;

Abstract

A few sufficient conditions for the existence and uniqueness of fixed point and common fixed point for certain contractive type mappings in complete metric spaces are provided. Several existence and uniqueness results of solution and common solution for some functional equations and system of functional equations in dynamic programming are discussed by using the fixed point and common fixed point theorems presented in this paper.

Keywords

common fixed point;contractive type mappings;complete metric space;common solution;functional equation;system of functional equations;dynamic programming;

Language

English

Cited by

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