Hilbert空间上关于变分不等式问题的Bregman外梯度算法

A Bregman Extragradient Method for Solving Variational Inequality Problems in Hilbert Spaces

本文在Hilbert空间上提出了一种关于伪单调变分不等式问题的Bregman外梯度算法.在对参数进行合理假设的情况下,得到了该算法的弱收敛定理.所得结果推广和提高了许多最新结果.

This paper introduces a Bregman extragradient method and applies it to solve pseudo-monotone variational inequality problems in Hilbert spaces.Under some reasonable assumptions imposed on the parameters,a weak convergence theorem for the suggested method is achieved.The results obtained in this paper generalize and improve many recent ones in the literature.