求解强伪单调变分不等式和不动点问题公共点的投影算法

Projection Algorithm for Finding Common Elements of Strongly Pseudomonotone Variational Inequalities and Fixed Point Problems

研究求解强伪单调变分不等式和不动点问题公共点的投影算法,提出一个惯性形式的投影算法,在映射f强伪单调非Lipschitz连续,U为非扩张映射的条件下证明算法的强收敛性.最后,数值实验验证算法的有效性.

The projection algorithm for solving strongly pseudomonotone variational inequality problems and fixed point problems has been studied in this paper.We introduce an inertial-type projection algorithm.Under the assumptions that f is strongly pseudom-onotone and not Lipschitz continuous while U is nonexpansive mapping,the strong convergence of this algorithm is proved.Finally,we provide numerical experiments to show the efficiency and advantage of the proposed algorithm.