Solving split monotone variational inclusion problems via a relaxed-inertial self-adaptive regularized splitting algorithm

Arfat, Yasir

doi:10.1007/s11075-026-02344-5

Solving split monotone variational inclusion problems via a relaxed-inertial self-adaptive regularized splitting algorithm

2026-03-01

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Muhammad Aqeel Ahmad Khan

DOI：10.1007/s11075-026-02344-5

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我们提出了一种用于求解涉及极大单调算子的Hilbert空间中分裂单调变分包含问题的理论框架。在此框架内，我们采用松弛惯性、自适应和Tikhonov正则化技术，开发了一种用于在适当假设下确定分裂单调变分包含问题解的迭代算法。理论分析和数值实验以及实际应用均表明了所提出算法的有效性。我们强调了与求解分裂单调变分包含问题的经典算法相比，新型迭代方法的主要优势。

Keyword:

Split monotone variational inclusion problem

Viscosity

Inertial

Split feasibility problem

Strong convergence

Tikhonov regularization

Nonlinear mappings

Solving split monotone variational inclusion problems via a relaxed-inertial self-adaptive regularized splitting algorithm

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