论文标题
几种用于解决分裂变异包容问题的自适应惯性投射算法
Several self-adaptive inertial projection algorithms for solving split variational inclusion problems
论文作者
论文摘要
本文是为了分析无限尺寸希尔伯特空间框架中分裂变分包容问题的近似解决方案。为此，提出了几种惯性混合和收缩的投影算法，该算法是在自适应步骤的效果下提出的，这些算法不需要给定操作员的规范信息。在轻度约束下获得了所提出算法的一些强收敛性。最后，通过比较现有结果，给出了一个实验应用来说明提出方法的性能。
This paper is to analyze the approximation solution of a split variational inclusion problem in the framework of infinite dimensional Hilbert spaces. For this purpose, several inertial hybrid and shrinking projection algorithms are proposed under the effect of self-adaptive stepsizes which does not require information of the norms of the given operators. Some strong convergence properties of the proposed algorithms are obtained under mild constraints. Finally, an experimental application is given to illustrate the performances of proposed methods by comparing existing results.
