准凸函数和准无穷映射的循环解析子方法

IF 0.8 Q2 MATHEMATICS Advances in Operator Theory Pub Date : 2024-10-07 DOI:10.1007/s43036-024-00390-1

Hadi Khatibzadeh, Maryam Moosavi

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引用次数: 0

摘要

对于哈达玛空间中的准凸函数和准无穷映射的有限族，循环解析子方法得到了扩展。证明主要结果的基本工具是使用第一作者和莫赫比最近发表的关于强准无穷序列迭代行为的文章。即使在希尔伯特空间中，这些结果也是全新的。

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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The method of cyclic resolvents for quasi-convex functions and quasi-nonexpansive mappings

The method of cyclic resolvents has been extended for a finite family of quasi-convex functions and quasi-nonexpansive mappings in Hadamard spaces. The essential tool for proving the main results is the use of the recent article by the first author and Mohebbi on the behavior of an iteration of a strongly quasi-nonexpansive sequence. The results are new even in Hilbert spaces.

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来源期刊

Advances in Operator Theory MATHEMATICS-

CiteScore

1.60

自引率

0.00%

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