论文标题
用于解决变异不等式和固定点问题的惯性外算法
Inertial extragradient algorithms for solving variational inequalities and fixed point problems
论文作者
论文摘要
这项研究的目的是探索凸的可行性问题，该问题由单调变化不平等问题和固定点问题组成。我们介绍了四种惯性外算法，这些算法是由惯性方法，亚级别的外部方法，Tseng的外部外部方法和MANN型方法赋予了简单步骤大小的。算法的强收敛定理是根据成本运营商强制执行的一些标准和适当条件建立的。最后，我们实施了一些计算测试，以显示提出的算法的效率和优势，并将其与一些现有算法进行比较。
The objective of this research is to explore a convex feasibility problem, which consists of a monotone variational inequality problem and a fixed point problem. We introduce four inertial extragradient algorithms that are motivated by the inertial method, the subgradient extragradient method, the Tseng's extragradient method and the Mann-type method endowed with a simple step size. Strong convergence theorems of the algorithms are established under some standard and suitable conditions enforced by the cost operators. Finally, we implement some computational tests to show the efficiency and advantages of the proposed algorithms and compare them with some existing ones.
