一类不动点问题的同伦方法

2010 Third International Joint Conference on Computational Science and Optimization Pub Date : 2010-05-28 DOI:10.1109/CSO.2010.236

Jia-wei Tan, Jia Chen, Qing-huai Liu

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引用次数: 2

摘要

不动点定理已应用于经济分析。本文讨论了一类非凸集的著名的browwer不动点定理，并给出了计算这类非凸集不动点的全局收敛同伦方法。最后，通过一个简单的算例验证了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Homotopy Method for a Class of Fixed-Point Problems

Fixed point theorems have been applied to economic analysis. In this paper, the well-known Brouwer fixed point theorem is discussed to a class of nonconvex sets and a globally convergent homotopy method is developed for computing the fixed-point on this class of nonconvex sets. In addition, a simple example is given to show the effectiveness of the modified method.

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2010 Third International Joint Conference on Computational Science and Optimization

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