求解伪单调变分不等式的修正投影收缩算法  

Modified Projection and Contraction Algorithm for Solving Pseudomonotone Variational Inequality Problems

作　　者：陈艺 叶明露[1] CHEN Yi;YE Minglu(College of Mathematic and Information,China West Normal University,Nanchong Sichuan 637009,China)

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《西华师范大学学报（自然科学版）》2021年第3期246-253,共8页Journal of China West Normal University(Natural Sciences)

基　　金：国家自然科学基金面上项目(11871059);国家自然科学基金青年项目(11801455)。

摘　　要：本文在实Hilbert空间中改进了一种求解伪单调变分不等式的投影收缩算法。在与已有算法相同的假设条件下证明了该算法能强收敛到变分不等式的一个解。从数值实验的结果来看,修改后的算法比已有算法更有效。In this paper,a modified projection contraction algorithm for solving pseudomonotone variational inequalities in real Hilbert space is presented.Under the same condition as that of the known algorithms,the algorithm is proved to be of strong convergence to a solution of variational inequalities.The results of numerical experiments show that the modified algorithm is more efficient than the existing algorithms.

关 键 词：伪单调 LIPSCHITZ连续 投影收缩算法 强收敛 变分不等式 

分 类 号：O221[理学—运筹学与控制论]