A fixed point theorem for discontinuous functions

P. Jean-Jacques Herings (), Gerard van der Laan, Dolf Talman () and Zaifu Yang
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Zaifu Yang: Tilburg University, Center for Economic Research

No 4, Discussion Paper from Tilburg University, Center for Economic Research

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 ...

JEL-codes: C62 C63 (search for similar items in EconPapers)
Date: 2005
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Related works:
Working Paper: A Fixed Point Theorem for Discontinuous Functions (2005)
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Persistent link: http://EconPapers.repec.org/RePEc:dgr:kubcen:20054

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