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<p>In the present paper, we propose two new inertial projection-type algorithms for finding solutions to systems of split equality problems in real Hilbert spaces, utilizing the hybrid and shrinking projection methods. We use a way of selecting the control parameters such that implementing our algorithms does not need any prior information regarding the norms of the transfer operators. It avoids the difficult work of estimating them. We also present three numerical examples to illustrate the effectiveness of our algorithms and compare them with several existing algorithms.</p>

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Inertial projection-type algorithms for systems of split equality problems in Hilbert spaces

  • 期刊论文

  • 发表日期：

    2025年7月29日

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  • Nguyen Song Ha

摘要

In the present paper, we propose two new inertial projection-type algorithms for finding solutions to systems of split equality problems in real Hilbert spaces, utilizing the hybrid and shrinking projection methods. We use a way of selecting the control parameters such that implementing our algorithms does not need any prior information regarding the norms of the transfer operators. It avoids the difficult work of estimating them. We also present three numerical examples to illustrate the effectiveness of our algorithms and compare them with several existing algorithms.