Coincidence points principle for mappings in partially ordered spaces
Coincidence points principle for mappings in partially ordered spaces
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DOI：
10.1016/j.topol.2014.08.013
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发表时间：
2015
影响因子：
0.6
通讯作者：
A. Arutyunov;E. Zhukovskiy;S. Zhukovskiy
中科院分区：
文献类型：
--
作者：
A. Arutyunov;E. Zhukovskiy;S. Zhukovskiy
引入了部分有序空间中映射的覆盖（正则）概念。得到了等压和有序覆盖映射的重合点和最小重合点存在的充分条件。这些结果推广了等压映射的经典不动点定理。在此基础上，导出了度量空间中覆盖映射和Lipschitz映射重合点的已知定理。
The concept of covering (regularity) for mappings in partially ordered spaces is introduced. Sufficient conditions for the existence of coincidence points and minimal coincidence points of isotone and orderly covering mappings are obtained. These results generalize classical fixed point theorems for isotone mappings. Moreover, the known theorems on coincidence points of covering and Lipschitz mappings in metric spaces are deduced from the obtained results.