By employing the fixedpoint 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.
Moreover, we also get a fixedpoint theorem of uniform partial extension mapping and a fixedpoint 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。
3
This paper discusses existence and uniqueness of the fixedpointof some expansion type mapping pairs and properties offixedpoint sets in the 2-metric space.