IJPAM: Volume 71, No. 3 (2011)

COMMON COINCIDENCE POINT THEOREMS IN $T_1$
TOPOLOGICAL SPACES WITH APPLICATION TO
THE SOLUTIONS OF FUNCTIONAL EQUATIONS
IN DYNAMIC PROGRAMMING

Jinbiao Hao$^1$, Hongyan Guan$^2$, Shin Min Kang$^3$
$^1$Department of Mathematics
Liaoning Normal University
Dalian, Liaoning, 116029, P.R. CHINA
$^2$Department of Mathematics
Shenyang Normal University
Shenyang, Liaoning, 110000, P.R. CHINA
$^3$Department of Mathematics and RINS
Gyeongsang National University
Jinju 660-701, KOREA


Abstract. In this paper, we prove a few coincidence point theorems for two pairs of mappings in $T_1$ topological spaces. As application, we discuss the existence of common solutions for a class of system of functional equations arising in dynamic programming.

Received: May 19, 2011

AMS Subject Classification: 54H25

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

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 71
Issue: 3