局部压缩映射不动点的存在唯一性

Existence and Uniqueness of a Fixed Point for Local Contractions

Econometrica · 2010
被引 50
人大 A+FT50ABS 4*

中文导读

证明了在不要求压缩系数一致远离1的条件下局部压缩映射不动点的存在唯一性,并展示了该结果如何应用于经济动力学中递归方程解的存在唯一性研究。

Abstract

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 existence and uniqueness of solutions to some recursive equations that arise in economic dynamics.

局部压缩不动点存在唯一性递归方程经济动力学