Multivalued homotopy on an ordered set, fixed and coincidence points of mappings, and applications in game theory

DOI10.1134/S000143461909027XzbMath1432.55001OpenAlexW2981993677MaRDI QIDQ2291217

Dmitrii Podoprikhin, Tatiana N. Fomenko

Publication date: 30 January 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461909027x

zbMATH Keywords

fixed pointordered setcoincidence pointmultivalued homotopypair of equilibrium strategies

Mathematics Subject Classification ID

Game theory (91A99) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (1)

On paranormality in hyperspaces

Cites Work

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• On coincidences of families of mappings on ordered sets
• Isotone relations and the fixed point property for posets
• Fixed points of mappings on ordered sets
• Preservation of the existence of fixed and coincidence points under homotopy of mappings of ordered sets
• Common fixed points and coincidences of mapping families on partially ordered sets
• TOPOLOGICAL METHODS IN THE FIXED-POINT THEORY OF MULTI-VALUED MAPS
• Finite Topological Spaces

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