论文标题

Tseng的惯性外部方法,用于解决具有一个投影的多价变化不平等现象

An inertial Tseng's extragradient method for solving multi-valued variational inequalities with one projection

论文作者

Fang, Changjie, Zhang, Ruirui, Chen, Shenglan

论文摘要

在本文中,我们引入了一种惯性的Tseng的外部方法,用于解决多值变异不等式,其中每个迭代中只需要一个投影。我们还获得了所提出的算法的强收敛结果,前提是多价值映射是连续的,并且具有非空的紧凑型凸值的假阳极酮。此外,与现有方法相比,数值模拟结果说明了我们方法的效率。

In this paper, we introduce an inertial Tseng's extragradient method for solving multi-valued variational inequalits, in which only one projection is needed at each iterate. We also obtain the strong convergence results of the proposed algorithm, provided that the multi-valued mapping is continuous and pseudomonotone with nonempty compact convex values. Moreover, numerical simulation results illustrate the efficiency of our method when compared to existing methods.

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