Fixed points and coincidences of mappings of partially ordered sets

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• 作者：T. N. Fomenko ; D. A. Podoprikhin
• 关键词：Fixed point ; coincidence point ; partial order ; isotone mapping ; orderly covering mapping
• 刊名：Journal of Fixed Point Theory and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：18
• 期：4
• 页码：823-842
• 全文大小：698 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Analysis
  Mathematical Methods in Physics
  
• 出版者：Birkh盲user Basel
• ISSN：1661-7746
• 卷排序：18

文摘

Possibility of the reduction of a coincidence problem to a fixed point problem is investigated for one-valued and multivalued mappings of partially ordered sets. New fixed point theorems are proved. Connections of the obtained results with well-known fixed point theorems and some recent results on coincidences of two mappings are considered.