Product of Resolvents on Hadamard Manifolds

IF 1.1 3区数学 Q1 MATHEMATICS

Mediterranean Journal of Mathematics Pub Date : 2024-03-23 DOI:10.1007/s00009-024-02622-3

Fatemeh Ahmadi, Parviz Ahmadi, Hadi Khatibzadeh

引用次数: 0

Abstract

The aim of this paper is to study the product of resolvents of a finite number of monotone vector fields on a Hadamard manifold to approximate both the singular points of their sum and a common singular point among them. For the sum of any finitely many maximal monotone vector fields, with some suitable assumptions, it is proved that the obtained sequence of the iterative method is convergent. The paper ends with some examples and applications.

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哈达玛德流形上的溶剂积

本文旨在研究哈达玛流形上有限个单调向量场的分解乘积，以逼近它们和的奇异点以及它们之间的共同奇异点。对于任意有限个最大单调向量场之和，只要有一些合适的假设，就能证明迭代法得到的序列是收敛的。论文最后列举了一些例子和应用。

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

Mediterranean Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

261

审稿时长

6-12 weeks

期刊介绍： The Mediterranean Journal of Mathematics (MedJM) is a publication issued by the Department of Mathematics of the University of Bari. The new journal replaces the Conferenze del Seminario di Matematica dell’Università di Bari which has been in publication from 1954 until 2003. The Mediterranean Journal of Mathematics aims to publish original and high-quality peer-reviewed papers containing significant results across all fields of mathematics. The submitted papers should be of medium length (not to exceed 20 printed pages), well-written and appealing to a broad mathematical audience. In particular, the Mediterranean Journal of Mathematics intends to offer mathematicians from the Mediterranean countries a particular opportunity to circulate the results of their researches in a common journal. Through such a new cultural and scientific stimulus the journal aims to contribute to further integration amongst Mediterranean universities, though it is open to contribution from mathematicians across the world.