IJPAM: Volume 17, No. 2 (2004)

COINCIDENCE POINT THEOREMS IN
PSEUDOCOMPACT TICHONOV SPACES

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


Abstract.In this paper, some coincidence point theorems for a pair of contractive type mappings and two pairs of expansive type mappings in pseudocompact Tichonov spaces are established. The results presented in this paper generalize the corresponding results of Harinath [1], Jain and Dixit [2] and Liu [6].

Received: October 12, 2004

AMS Subject Classification: 54H25

Key Words and Phrases: coincidence point, fixed point, contractive type mappings, expansive type mappings, pseudocompact Tichonov space

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 17
Issue: 2