基于Mann-Halpern型的混合梯度投影算法的收敛性

摘要

在Hilbert空间中,梯度投影算法在解决有限制的凸约束最优化问题中扮演一个重要的作用.针对约束凸最小化问题,引入基于Mann-Halpern型的混合梯度投影算法,并在适当条件下证明了该算法的强收敛性.%In a Hilbert space,the gradient projection algorithm (GPA) plays an important role in solving constrained convex minimization problems.In this paper,a hybrid gradient projection algorithm of type Mann-Halpern is introduced to solve constrained convex minimization problems,and the strong convergence of this algorithm is proved under some suitable conditions.