the National Natural Science Foundation of China (No. 10571151); the Natural Science Foundation of Fujian Province (No. 2006J0228); the Natural Science Foundation of Education Department of Fujian Province (No. JB04298).Acknowledgment The author is very grateful to Professor Lin Shou for his help and the referee for his valuable suggestions.
In this paper,applications of CWC-mappings are discussed in metrization theorem, and some new metrization theorems of topological spaces are obtained by Nagata's condition and weakγ-spaces,which generalizes several m...