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中文摘要：
文章定义了Y空间上连续的连通集值映射及其周期轨道，探索了Y空间上连续的连通集值映射与y上的连续自映射之间的关系，得到了关于Y上连续的连通集值映射的两个定理。
英文摘要：
In the paper we define the continuous connected set-valued maps on Y and its periodic orbits. Then we explore the relationship between the continuous maps on Y and the continuous connected set-valued maps. After that, we have got two theorems of the continuous connected set-valued maps on Y.
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