论文标题
自适应惯性外算法解决变化不平等问题
Self adaptive inertial extragradient algorithms for solving variational inequality problems
论文作者
论文摘要
在本文中，我们研究了两种具有新的步骤尺寸的Mann型惯性外算法的强烈融合，用于解决实际希尔伯特空间中的单调和Lipschitz连续操作员的变异不平等问题。在没有操作员的Lipschitz常数的情况下，证明了我们算法的强收敛定理。最后，我们提供了一些数值实验，以说明所提出的算法的性能并提供与相关算法的比较。
In this paper, we study the strong convergence of two Mann-type inertial extragradient algorithms, which are devised with a new step size, for solving a variational inequality problem with a monotone and Lipschitz continuous operator in real Hilbert spaces. Strong convergence theorems for our algorithms are proved without the prior knowledge of the Lipschitz constant of the operator. Finally, we provide some numerical experiments to illustrate the performances of the proposed algorithms and provide a comparison with related ones.
