Fixed-Point Theorems

Ken Urai
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Ken Urai: Osaka University, Japan

Chapter 2 in Fixed Points and Economic Equilibria, 2010, pp 27-56 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractThe following sections are included:Classical Results and Basic ExtensionsClassical fixed-point argumentsExtensions of classic resultsConvexity and Duality for General SpacesConvex structure and convex combinationSystem of dualityTopological condition for dual-system structureDifferentiability and dual-space representationExtension of Classical Results to General SpacesBibliographic NotesNotes for Section 2.1Notes for Section 2.2Notes for Section 2.3

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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