Fixed points of mappings on ordered sets

DOI10.1134/S1995080217060105zbMath1385.54014OpenAlexW2769649681MaRDI QIDQ1703315

Dmitrii Podoprikhin

Publication date: 2 March 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080217060105

zbMATH Keywords

fixed pointordered setisotone mappingmulti-valued mappingorder-homotopy

Mathematics Subject Classification ID

Partial orders, general (06A06) Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (3)

Preservation of the coincidence point existence property under some discrete transformations of a pair of mappings of metric spaces ⋮ On preservation of common fixed points and coincidences under a homotopy of mapping families of ordered sets ⋮ Multivalued homotopy on an ordered set, fixed and coincidence points of mappings, and applications in game theory

Cites Work

• Unnamed Item
• Unnamed Item
• On coincidence points of mappings in partially ordered spaces
• Coincidence points of set-valued mappings in partially ordered spaces
• Coincidence points principle for mappings in partially ordered spaces
• Fixed points and coincidences of mappings of partially ordered sets
• On coincidences of families of mappings on ordered sets
• Isotone relations and the fixed point property for posets
• Common fixed points and coincidences of mapping families on partially ordered sets
• A Theorem on Partially Ordered Sets, With Applications to Fixed Point Theorems
• Fixed Points of Order Preserving Multifunctions
• Coincidence points principle for set-valued mappings in partially ordered spaces

This page was built for publication: Fixed points of mappings on ordered sets