Econometrica: May 2010, Volume 78, Issue 3

Existence and Uniqueness of a Fixed Point for Local Contractions

https://doi.org/10.3982/ECTA7920
p. 1127-1141

V. Filipe Martins‐da‐Rocha, Yiannis Vailakis

This paper proves the existence and uniqueness of a fixed point for local contractions without assuming the family of contraction coefficients to be uniformly bounded away from 1. More importantly it shows how this fixed‐point result can apply to study the existence and uniqueness of solutions to some recursive equations that arise in economic dynamics.

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