We guarantee the existence of stationary points for semicompact lower semicontinuous multifunctions in metric spaces. We also show that the semicompactness condition can be replaced by some other properties. Several examples illustrating the main results are also given.

中文翻译：

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下半连续多功能的固定点

我们保证度量空间中半紧的低半连续函数的不动点的存在。我们还表明，半紧缩条件可以用其他一些属性代替。还给出了一些说明主要结果的示例。