广义度量空间中反交换映射的公共不动点定理

Common Fixed Point Theorems for Converse Commuting Mappings in Generalized Metric Spaces

在广义度量空间的框架下,使用反交换映射的概念,在不要求空间的完备性和映射的连续性条件下,证明了两个新的公共不动点定理.并给出了一个支持新结果的实际例子.这些结果与其他已知结果是完全不同的.

Using the concept of converse commuting mapping ,the paper proves two new common fixed point theorems without the conditions of space completeness and mapping continuity in the framework of a generalized metric space ,and provides an example to support the new results ,which differ from other existing results .