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中文摘要：
主要利用局部凸空间中Fan—Kakutani不动点定理，将参考文献[1]中得到的局部凸空间中集值映射的极小不动点定理进行推广，把原定理中的半范数条件减弱为次可加泛函，得到具局部凸空间中集值映射的一个极小不动点定理．
英文摘要：
In this paper, by Fan - kakutani fixed point theorem, we generalized the extreme minimum fixed point theorem for set - valued mapping in the local convex space in reference [ 1 ]. We use sub - additive functional instead of semi - norm, proved a extreme minimum fixed point theorem for set - valued mapping in the local convex space.
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