An extension of Brouwer's fixed point theorem allowing discontinuities

Une extension du théorème du point fixe de Brouwer autorisant des discontinuités

Philippe Bich ()
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Philippe Bich: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique

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Abstract: In this article, we extend Brouwer's fixed point theorem-which states that every continuous mapping from a convex compact subset of a Euclidean space to itself must have a fixed point, by allowing discontinuities of the function, and we apply this extension to equilibrium theory in Economics.

Keywords: Brouwer; Discontinuities (search for similar items in EconPapers)
Date: 2004
Note: View the original document on HAL open archive server: https://hal.science/hal-01396169
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Published in Comptes Rendus. Mathématique, 2004, 338 (9), pp.673-678. ⟨10.1016/j.crma.2004.03.001⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01396169

DOI: 10.1016/j.crma.2004.03.001

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