Coincidence points principle for mappings in partially ordered spaces

被引：31

作者：

Arutyunov, A. V. ^{[1
]}

Zhukovskiy, E. S. ^{[2
]}

Zhukovskiy, S. E. ^{[1
]}

机构：

[1] Peoples Friendship Univ Russia, Moscow 117198, Russia

[2] Tambov State Univ, Tambov 392000, Russia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2015年 / 179卷

关键词：

Orderly covering mapping; Coincidence point; METRIC-SPACES;

D O I：

10.1016/j.topol.2014.08.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：13 / 33

页数：21

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