Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces
Zai-Yun Peng, Zai-Yun Peng, Zhi-Ying Peng, Zhi-Ying Peng, Gang Cai, Gao-Xi Li · Applicable Analysis · 2023
In this paper, an inertial subgradient extragradient algorithm is proposed to solve the pseudomonotone variational inequality problems in Banach space. This iterative scheme employs a new line-search rule. Strong convergence theorems for the proposed algorithms are established under the assumptions that the operators are non-Lipschitz continuous. Furthermore, several numerical experiments are given to show that our method has better convergence performance than the known ones in the literatures.