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

作　　者：马蓓蓓 王万禹 MA Beibei;WANG Wanyu(School of Mathematics,Chengdu Normal University,Chengdu 611130,Sichuan)

机构地区：[1]成都师范学院数学学院,四川成都611130

出　　处：《四川师范大学学报（自然科学版）》2023年第4期512-518,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(12101436)。

摘　　要：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.

关 键 词：强伪单调 强收敛 变分不等式 不动点 

分 类 号：O178[理学—数学]