论文标题

固定点定理在公制矢量空间中没有连续性

Fixed point theorems without continuity in metric vector spaces

论文作者

Li, Jinlu

论文摘要

在此Oaper中,我们证明了公制矢量空间中的一些固定点定理,其中所考虑的映射不需要连续性。我们提供了一些具体示例来证明这些定理。我们还提供一些反例,以表明定理中的每个条件对于被考虑的映射具有固定点都是必需的。

In this oaper, we prove some fixed point theorems in metric vector spaces, in which the continuity is not required for the considered mappings to satisfy. We provide some concrete examples to demonstrate these theorems. We also give some counterexamples to show that every condition in the theorems is necessary for the considered mapping to have a fixed point.

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