IJPAM: Volume 44, No. 3 (2008)
A COMMON FIXED POINT THEOREM FOR TWO PAIRS
OF COMPATIBLE MAPPINGS AND ITS APPLICATION
OF COMPATIBLE MAPPINGS AND ITS APPLICATION
Tao Cai
, Lin Chen
, Zeqing Liu
, Shin Min Kang
Department of Mathematics
Kunming Teacher's College
Kunming, Yunnan, 650031, P.R. CHINA
e-mail: caitao1963@sina.com
Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning, 116029, P.R. CHINA
e-mail: linchen@eefox.com
e-mail: zeqingliu@sina.com.cn
Department of Mathematics
The Research Institute of Natural Science
Gyeongsang National University
Jinju, 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr
, Lin Chen, Zeqing Liu, Shin Min Kang
Department of Mathematics
Kunming Teacher's College
Kunming, Yunnan, 650031, P.R. CHINA
e-mail: caitao1963@sina.com
Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning, 116029, P.R. CHINA
e-mail: linchen@eefox.com
e-mail: zeqingliu@sina.com.cn
Department of Mathematics
The Research Institute of Natural Science
Gyeongsang National University
Jinju, 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr
Abstract.An existence and uniqueness result of common fixed point for two pairs of compatible mappings in an induced complete metric space is obtained. As application the existence and uniqueness of common solution for a system of functional equations arising in dynamic programming is discussed.
Received: January 28, 2008
AMS Subject Classification: 54H25
Key Words and Phrases: countable family of pseudometrics, induced metric space, compatible mappings, contractive mappings, common fixed point, common solution, system of functional equations, dynamic programming
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 44
Issue: 3
