解决广义非计量映射的单调包含和定点问题的迭代方法

Q1 Mathematics Partial Differential Equations in Applied Mathematics Pub Date : 2024-10-14 DOI:10.1016/j.padiff.2024.100953

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摘要

在本研究中，我们提出了一种新算法，用于在实希尔伯特空间的背景下寻找有限单调包含族的公共解和有限广义非计量算子族的定点问题，并证明了其强大的收敛性。此外，我们还利用我们的结果解决了最小化问题。

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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An iterative approach for addressing monotone inclusion and fixed point problems with generalized demimetric mappings

Throughout this study, we present a new algorithm for finding the common solution of a finite family of monotone inclusion and the fixed point problem of a finite family of generalized demimetric operators in the context of a real Hilbert space and show its strong convergence. Moreover, we utilize our result to solve the minimization problem.

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