论文标题
惯性的Tseng的惯性外算法的强烈收敛，用于假单胞酮变化不平等，适用于最佳控制问题
Strong convergence of an inertial Tseng's extragradient algorithm for pseudomonotone variational inequalities with applications to optimal control problems
论文作者
论文摘要
我们研究了一种惯性粘度型Tseng的外部算法，该算法具有新的步骤大小，以解决真实希尔伯特空间中的假孔酮变异不平等问题。在没有运算符的Lipschitz常数的情况下，获得了算法的强收敛定理，也无需任何其他预测。最后，进行了几项计算测试，以证明算法的可靠性和好处，并将其与现有的算法进行比较。此外，我们的算法还用于解决最佳控制问题中出现的变异不平等问题。本文提出的算法改善了文献中的一些已知结果。
We investigate an inertial viscosity-type Tseng's extragradient algorithm with a new step size to solve pseudomonotone variational inequality problems in real Hilbert spaces. A strong convergence theorem of the algorithm is obtained without the prior information of the Lipschitz constant of the operator and also without any requirement of additional projections. Finally, several computational tests are carried out to demonstrate the reliability and benefits of the algorithm and compare it with the existing ones. Moreover, our algorithm is also applied to solve the variational inequality problem that appears in optimal control problems. The algorithm presented in this paper improves some known results in the literature.
