Almost Fixed Point Theorems

DOI10.2307/2046791zbMath0691.47046OpenAlexW4233423785MaRDI QIDQ3032869

Adam Idzik

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046791

zbMATH Keywords

almost convex setČech cohomology functorclosed cover version of Hazewinkel and van de Vel's theorem on the existence of \(\gamma\)-almost fixed points for set-valued functions and for real Hausdorff topological vector spacesconvexoid coverfixed point theorems of the Schauder-Tychonoff type

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (24)

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Cites Work

• The fixed point theory of multi-valued mappings in topological vector spaces
• Fixed points in locally convex spaces
• Ein Fixpunktsatz
• Sur la forme des espaces topologiques et sur les points fixes des représentations
• The Almost Fixed Point Property for Nonexpansive Mappings
• A Fixed Point Theorem for the Sum of Two Mappings
• On Almost-Fixed-Point Theory
• A Fixed Point Theorem for Multifunctions in a Locally Convex Space
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• Fixed Point Theorems for Multi-Valued Transformations
• Fixed points of compact multifunctions
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