IJPAM: Volume 15, No. 4 (2004)

COMMON COINCIDENCE POINT THEOREMS
IN $T_1$ TOPOLOGICAL SPACES WITH
APPLICATION IN DYNAMIC PROGRAMMING

Shin Min Kang$^1$, Hongyan Guan$^2$, Zeqing Liu$^3$, Soo Hak Shim$^4$
$^{1,4}$Department of Mathematics
Research Institute of Natural Science
Gyeongsang National University
Chinju 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr
$^{2,3}$Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning 116029, P.R. CHINA
e-mail: zeqingliu@dl.cn


Abstract.In this paper, we establish some coincidence point theorems for two pairs of mappings in $T_1$ topological spaces. As application, the existence problems of common solutions for a class of system of functional equations arising in dynamic programming are discussed. Our results extent, improve and unify some recent results.

Received: July 11, 2004

AMS Subject Classification: 54H25

Key Words and Phrases: $T_1$ topological space, coincidence point, proper mapping

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 15
Issue: 4