度规空间上非扩张型映射的不动点定理

Fixed point theorems of non-expansive type mappings on gauge spaces

在度规空间中建立了非扩张型映射不动点定理并利用它们,得到了度量空间、某类Menger概率度量空间以及局部凸Hausdorff拓扑向量空间中相应的不动点定理.

In this paper, we established the fixed point theorems of non-expansive type mappings in gauge spaces. By using them, we obtained the corresponding fixed point theorems on usual metric spaces , a class of Menger probabilistical metric spaces and locally convex Hausdorff topological vector spaces.