寻找非扩张映射不动点的一些新的迭代算法

Journal of Applied and Numerical Optimization Pub Date : 1900-01-01 DOI:10.23952/jano.2.2020.2.02

Li Xiao-huan, Q. Dong, A. Gibali

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引用次数: 2

摘要

本文介绍了利用投影法和收缩法寻找非扩张映射不动点的几种新的迭代算法。在温和条件下建立了Hilbert空间中的弱收敛定理和强收敛定理。数值算例说明了所提算法的优越性。

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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Some new iterative algorithms for finding fixed points of nonexpansive mappings

In this paper, we introduce some new iterative algorithms for finding fixed points of nonexpansive mappings with the aid of projection and contraction methods. Weak and strong convergence theorems are established under mild conditions in Hilbert spaces. The numerical examples are presented to illustrate the advantage of our proposed algorithms.

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Journal of Applied and Numerical Optimization

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