Convex Structure and Fixed-Point Index

Ken Urai
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Ken Urai: Osaka University, Japan

Chapter 7 in Fixed Points and Economic Equilibria, 2010, pp 167-182 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractThe following sections are included:Lefschetz's Fixed-Point Theorem and Its ExtensionsConvex structures and mappings of Browder type (class ℬ)Convex structures and mappings of Kakutani type (class 𝒦)Acyclic valued directional structures and mappings of class 𝒟Cohomology Theory for General SpacesDual-System Structure and DifferentiabilityLinear Approximation for Isolated Fixed PointsIndices for Compact Set of Fixed PointsBibliographic Notes

Keywords: Fixed Point Theory; General Equilibrium Theory; Nash Equilibrium; Algebraic Topology; Homology Theory; Mathematical Logic; Model Theory; Economic Rationality; Methodology; Economics and Ethics (search for similar items in EconPapers)
Date: 2010
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