Preservation of the existence of fixed and coincidence points under homotopy of mappings of ordered sets

DOI10.1134/S1064562417060199zbMath1387.55005OpenAlexW2782277591MaRDI QIDQ1707153

Dmitrii Podoprikhin, Tatiana N. Fomenko

Publication date: 28 March 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417060199

zbMATH Keywords

fixed pointcoincidencepreservationhomotopyordered setsisotone mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (4)

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 ⋮ Zero preservation for a family of multivalued functionals, and applications to the theory of fixed points and coincidences ⋮ Multivalued homotopy on an ordered set, fixed and coincidence points of mappings, and applications in game theory

Cites Work

• Unnamed Item
• On coincidence points of 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
• Finite Topological Spaces

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