Approximation semigroups for resolvent maps

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-28 DOI:10.1007/s43037-024-00336-y

Byoung Jin Choi, Un Cig Ji, Yongdo Lim, Miklós Pálfia

引用次数: 0

Abstract

In this paper, we extend the results for approximation semigroups for general resolvent maps including various resolvents of maps on a general convex geodesic metric space. For our study, we introduce the notion of (general) resolvent maps which is a generalization of the resolvent maps in Lawson (J Lie Theory 33, 361–376, 2023) and then we prove several useful properties for the resolvent map and construct the approximation semigroups for resolvent maps. We also study the convergence of a proximal point like algorithm for the general resolvent map.

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解析映射的近似半群

在本文中，我们扩展了一般解析映射的近似半群结果，包括一般凸测地线度量空间上映射的各种解析映射。在研究中，我们引入了（一般）解析映射的概念，它是 Lawson（J Lie Theory 33, 361-376, 2023）中解析映射的一般化，然后我们证明了解析映射的几个有用性质，并构建了解析映射的近似半群。我们还研究了一般解析图的近似点算法的收敛性。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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