By employing the fixed point index of condensing mapping, the existence results of positive solution are obtained under two cases, the conclusions extend the results recently achieved in this field.

我们应用凝聚映射的不动点指数理论，分别存两种情形下，获得了一些正解存在的结果，推广了近期这方面已有的一些结果。

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Moreover, we also get a fixed point theorem of uniform partial extension mapping and a fixed point theorem of quasi-extension mapping.

另外，我们还得一个一致局部扩张映射不动点定理与一个准扩张映射不动点定理。

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This paper discusses existence and uniqueness of the fixed point of some expansion type mapping pairs and properties of fixed point sets in the 2-metric space.

本文讨论2 -距离空间中某些膨胀型映射对的不动点的存在性，唯一性和不动点集的性质。

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