Coincidence points principle for set-valued mappings in partially ordered spaces

详细信息    查看全文

• 作者：A.V. Arutyunov^a ; ^b ; ^{arutun@orc.ru" class="auth_mail" title="E-mail the corresponding author} ; E.S. Zhukovskiy^c ; ^{zukovskys@mail.ru" class="auth_mail" title="E-mail the corresponding author} ; S.E. Zhukovskiy^a ; ^{s-e-zhuk@yandex.ru" class="auth_mail" title="E-mail the corresponding author}
• 关键词：54H25 ; 06A06
• 刊名：Topology and its Applications
• 出版年：2016
• 出版时间：15 March 2016
• 年：2016
• 卷：201
• 期：Complete
• 页码：330-343
• 全文大小：397 K

文摘

In the paper the concept of covering (regularity) for set-valued mappings in partially ordered spaces is introduced. The coincidence points problem for set-valued mappings in partially ordered spaces is considered. Sufficient conditions for the existence of coincidence points of isotone and orderly covering set-valued mappings are obtained. It is shown that the known theorems on coincidence points of covering and Lipschitz mappings in metric spaces can be deduced from the obtained results.