Common fixed point theorems for  contractive type mappings and their applications in dynamic programming

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

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2008; 45(3): 573-585

Printed September 1, 2008

Common fixed point theorems for contractive type mappings and their applications in dynamic programming

Zeqing Liu, Lili Wang, Hyeong Kug Kim, and Shin Min Kang

Liaoning Normal University, Liaoning Normal University, Gyeongsang National University, Gyeongsang National University

Abstract

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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