求解伪单调平衡问题的强收敛算法

Strong Convergence of Iterative Algorithm for Pseudomonotone Equilibrium Problems

本文研究求解实希尔伯特空间中平衡问题的算法.结合惯性方法和非单调步长,一种求解平衡问题的算法被提出,所提算法无需知道双边函数的利普希茨常数.在双边函数伪单调和满足利普希茨条件下,算法的强收敛性被证明.数值实验表明了算法的优势.

In this work,we introduce a new iterative algorithm for solving equilibrium problems involving pseudomontone and Lipschitz-type bifunctions in real Hilbert space.The algorithm use inertial method and a non-monotonic step size,strong convergence of the algorithm is established without the knowledge of the Lipschitz-type constants of bifunction.Some numerical experiments are reported to show the advantage of the proposed algorithm.