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A fixed point theorem for discontinuous functions

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Author Info
Herings, Jean-Jacques
Laan, Gerard van der
Talman, Dolf
Yang, Zaifu (Tilburg University, Center for Economic Research)

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Abstract

In this paper we prove the following fixed point theorem. Consider a non-empty bounded polyhedron P and a function f: P ? P such that for every x ? P for which f(x) ? x there exists d > 0 such that for all y, z ? B(x,d)n P it holds that (f(y)-y)T(f(z)-z)=0, where B(x,d) is the ball in ...

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 4.

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Date of creation: 2005
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Handle: RePEc:dgr:kubcen:20054

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques

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  1. Philippe Bich, 2006. "Some fixed point theorems for discontinuous mappings," Cahiers de la Maison des Sciences Economiques b06066, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
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This page was last updated on 2009-11-25.

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