Preservation of the existence of fixed and coincidence points under homotopy of mappings of ordered sets
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Publication:1707153
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
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
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- 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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