论文标题
在定点集的交点上，推断的顺序约束方法用于变异不等式
Extrapolated Sequential Constraint Method for Variational Inequality over the Intersection of Fixed-Point Sets
论文作者
论文摘要
本文涉及解决变异不平等问题的解决，其中将受约束的集合作为许多定点集的相交。为此，我们提出了一种推断的顺序约束方法。在每次迭代中，根据用于加速众所周知的杂化最陡峭下降方法的混合结合梯度方法的思想以及一种用于解决常见的固定点问题的外推循环切割方法的想法进行更新。我们证明了该方法在某些适当假设的步长序列下的强烈收敛性。我们最终显示了与某些现有方法相比，该方法的数值效率。
This paper deals with the solving of variational inequality problem where the constrained set is given as the intersection of a number of fixed-point sets. To this end, we present an extrapolated sequential constraint method. At each iteration, the proposed method is updated based on the ideas of a hybrid conjugate gradient method used to accelerate the well-known hybrid steepest descent method, and an extrapolated cyclic cutter method for solving a common fixed point problem. We prove strong convergence of the method under some suitable assumptions of step-size sequences. We finally show the numerical efficiency of the proposed method compared to some existing methods.
