Abstract

In this paper, we propose a novel Halpern-type algorithm and prove that the sequence generated by the algorithm converges strongly to the common element of the set of fixed points of the two firmly nonexpansive mappings and the solution set of zero points of the monotone inclusion problems on Hadamard manifolds, the main results in this paper extended and improved some recent related results.

中文翻译：

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一种新的Halpern型算法解决单调包含问题和Hadamard流形上的不动点问题

摘要

在本文中，我们提出了一种新的Halpern型算法，并证明了该算法生成的序列强烈收敛于两个牢固非扩张映射的不动点集和单调包含的零点解集的公共元素针对 Hadamard 流形问题，本文的主要结果扩展并改进了一些近期的相关结果。