解析映射的近似半群

IF 1.1 2区数学 Q1 MATHEMATICS

Banach Journal of Mathematical Analysis Pub Date : 2024-03-28 DOI:10.1007/s43037-024-00336-y

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

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引用次数: 0

摘要

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。

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Approximation semigroups for resolvent maps

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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来源期刊

Banach Journal of Mathematical Analysis 数学-数学

CiteScore

2.00

自引率

8.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Banach Journal of Mathematical Analysis (Banach J. Math. Anal.) is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Banach J. Math. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and operator theory and all modern related topics. Banach J. Math. Anal. normally publishes survey articles and original research papers numbering 15 pages or more in the journal’s style. Shorter papers may be submitted to the Annals of Functional Analysis or Advances in Operator Theory.