求解实数hilbert空间有限族非扩张映射的分裂变分包含问题和不动点问题的混合迭代方法

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2025-09-22 DOI:10.1007/s11565-025-00611-2

Saleem Yousuf

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引用次数: 0

摘要

本文提出了一种新的迭代逼近非扩张映射有限族的分裂变分包含问题和不动点问题的统一解。在实数Hilbert空间中，我们建立并验证了一个强收敛定理来实现这一公共解。本文提出的方法和结果扩展和统一了该领域最近的一些已知结果。最后，通过数值算例验证了迭代法生成序列的收敛性分析。

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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Hybrid iterative method for solving split variational inclusion problem and fixed-point problem for a finite family of nonexpansive mappings in real hilbert spaces

This paper presents a novel iterative approach designed to approximate a unified solution for both split variational inclusion problem and fixed-point problem of finite family of nonexpansive mappings. Within the context of real Hilbert spaces, we establish and validate a strong convergence theorem to achieve this common solution. The method and results presented in this paper extend and unify some recent known results in this field. Finally, a numerical example is used to demonstrate the convergence analysis of the sequences generated by the iterative method.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.