Some variants of regularized splitting method for solving split monotone variational inclusion problems

被引：0

作者：

Yasir Arfat ^{[1
]}

机构：

[1] University of São Paulo,Department of Applied Mathematics

来源：

Rendiconti del Circolo Matematico di Palermo Series 2 | 2025年 / 74卷 / 4期

关键词：

Splitting algorithm; Strong convergence; Tikhonov regularization; Nonexpansive operator; Split monotone variational inclusion problem; Split feasibility problem; Hilbert space; 47H06; 47H09; 47H10; 47B02; 47J05; 47J25;

D O I：

10.1007/s12215-025-01226-4

中图分类号：

学科分类号：

摘要：

In this paper, we present and examine the split monotone variational inclusion problem (SMVIP) related to maximal monotone operators in Hilbert spaces. With the help of Tikhonov’s regularization and viscosity approximation technique, we develop and discuss an iterative scheme for computing feasible solutions to the SMVIP under appropriate control conditions. The strong convergence and effectiveness of the proposed algorithm are demonstrated through both theoretical analysis and numerical results, including real-world applications, respectively. We highlight the key advantages of our iterative scheme in comparison to existing algorithms for the SMVIP. The findings presented in this paper enhance various existing results in the current literature.

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