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Strong convergence of inertial subgradient extragradient algorithm for solving pseudomonotone equilibrium problems
Optimization Letters ( IF 1.3 ) Pub Date : 2021-04-22 , DOI: 10.1007/s11590-021-01734-z
Duong Viet Thong , Prasit Cholamjiak , Michael T. Rassias , Yeol Je Cho

In this paper, we propose a new modified subgradient extragradient method for solving equilibrium problems involving pseudomonotone and Lipchitz-type bifunctions in Hilbert spaces. We establish the strong convergence of the proposed method under several suitable conditions. In addition, the linear convergence is obained under strong pseudomonotonicity assumption. Our results generalize and extend some related results in the literature. Finally, we provide numerical experiments to illustrate the performance of the proposed algorithm.



中文翻译:

求解拟单调平衡问题的惯性次梯度超梯度算法的强收敛性

在本文中,我们提出了一种新的改进的次梯度超梯度方法,用于解决希尔伯特空间中涉及伪单调和Lipchitz型双功能的平衡问题。我们在几种合适的条件下建立了该方法的强收敛性。另外,在强伪单调性假设下,线性收敛是成立的。我们的研究结果概括并扩展了文献中的一些相关结果。最后,我们提供了数值实验来说明所提算法的性能。

更新日期:2021-04-22
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