【摘要】 提出一种惯性次梯度外梯度方法来求解变分不等式问题,并且在映射是伪单调和Lipschitz连续但Lipschitz连续常数无需知道的假定下,给出算法的强收敛性结果.最后,给出主要的数值实验结果.更多还原

【Abstract】 In this paper,we introduce an inertial subgradient extragradient method for solving variational inequalities in Hilbert spaces,provided that the mapping is pseudo-momotone and L-Lipschitz continuous,where L is unknown. It is proved that the method converges globally to a solution of the variational inequality problem. Preliminary numerical experiments are also given.更多还原