IJPAM: Volume 51, No. 2 (2009)
FIXED POINT THEOREMS FOR TWO CLASSES
OF MAPPINGS IN COMPACT METRIC SPACES
OF MAPPINGS IN COMPACT METRIC SPACES
Shin Min Kang
, Pingping Zheng
, Zeqing Liu
, Chahn Yong Jung
Department of Mathematics
The Research Institute of Natural Science
Gyeongsang National University
Jinju, 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr
Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning, 116029, P.R. CHINA
e-mail: pingpingzheng@live.cn
e-mail: zeqingliu@sina.com.cn
Department of Business Administration
Gyeongsang National University
Jinju, 660-701, KOREA
e-mail: bb5734@nongae.gsnu.ac.kr
, Pingping Zheng, Zeqing Liu, Chahn Yong Jung
Department of Mathematics
The Research Institute of Natural Science
Gyeongsang National University
Jinju, 660-701, KOREA
e-mail: smkang@nongae.gsnu.ac.kr
Department of Mathematics
Liaoning Normal University
P.O. Box 200, Dalian, Liaoning, 116029, P.R. CHINA
e-mail: pingpingzheng@live.cn
e-mail: zeqingliu@sina.com.cn
Department of Business Administration
Gyeongsang National University
Jinju, 660-701, KOREA
e-mail: bb5734@nongae.gsnu.ac.kr
Abstract.In this paper sufficient conditions of the existence of fixed points for two classes of nonlinear mappings are established in compact metric spaces, and sufficient and necessary conditions of a continuous mapping to possesses fixed points are given in compact metric spaces.
Received: January 10, 2009
AMS Subject Classification: 54H25
Key Words and Phrases: fixed point, continuous mapping, commuting mappings, compact subset, compact metric space
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 2