CAJ | 학술논문

设（X，d）是紧致度量空间，f：X→X是连续映射，r（X）为X的所有非空紧致子集赋予由d诱导的Hausdorff度量而得到的空间，由．厂诱导的集值映射f：k（X）→k（X）定义为f（A）={f（a）：a∈A}。主要考虑（X，f）的极限点集与（k（X），f）的极限点集之间的关系，得到了如下结果：若F是f的w-极限点，则F中含有f的w-极限最；W（f）是闭集蕴含W（f）是闭集，它的逆不一定成立；在We拓扑下，若F∈k（X）含有f的w-极限点，则F本身是f的一个w-极限点；在We拓扑下有W（f）是闭集蕴含W（f）是闭集。
설（X，d）시긴치도량공간，f：X→X시련속영사，r（X）위X적소유비공긴치자집부여유d유도적Hausdorff도량이득도적공간，유．엄유도적집치영사f：k（X）→k（X）정의위f（A）={f（a）：a∈A}。주요고필（X，f）적겁한점집여（k（X），f）적겁한점집지간적관계，득도료여하결과：약F시f적w-겁한점，칙F중함유f적w-겁한최；W（f）시폐집온함W（f）시폐집，타적역불일정성립；재We탁복하，약F∈k（X）함유f적w-겁한점，칙F본신시f적일개w-겁한점；재We탁복하유W（f）시폐집온함W（f）시폐집。
Let （X,d） be a compact metric space and f：X→Xbe a continuous map. Let to（X） be the space of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d and the set-valued mapping f： to（ X ） →k（ X ） induced by f be the map defined by f-（ A ） = { f （ a ）： a ∈ A }. In this paper it is mainly investigated that the relationships between the set of limit points of （ X, f ） and the set of limit points of （ k（ X ）,7）, and the following results are obtained. It is proved that if W（y） is closed then so is W（f） but the converse of it is not necessarily true. It is shown that if F is the co-limit point of f then F contains a w- limit point of f. It is pointed out that for any F of k（X） if F contains a w- limit point of f then F is the co-limit point of f under the condition of We -topology. We prove that if W（f） is closed then so is W（f） under the circumstance of We - topology.