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Abstract
In this article, some characterizations for certain homeomorphisms on the unit disk are provided and some properties for these homeomorphisms are also shown.
Acknowledgements
The author is grateful to Professor Lixin Liu for his many suggestions and help. The research was supported by the NNSF Grant of China (10371078) and the Foundation of Natural Science of Guangdong Province (04009797) and the Foundation of Advanced Center of Zhongshan University (05M6).