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Applicable Analysis
An International Journal
Volume 103, 2024 - Issue 10
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Research Article

Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces

, , &
Pages 1769-1789 | Received 03 Jun 2023, Accepted 27 Sep 2023, Published online: 21 Oct 2023
 

Abstract

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.

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Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The first author was supported by the National Natural Science Foundation of China (12271067), the Chongqing Natural Science Foundation (cstc2021jcyj-msxmX0080), the Group Building Project for Scientific Innovation for Universities in Chongqing (CXQT21021) and the Science and Technology Research Program of Chongqing Municipal Education Commission (KJZD-K202200704). The second author was supported by the Chongqing Jiaotong University Postgraduate Research Innovation Project (2022S0070) and the Joint Training Base Construction Project for Graduate Students in Chongqing (JDLHPYJD2021016). The third author supported by the Chongqing Natural Science Foundation (CSTB2022NSCQ-MSX1318). The fourth author supported by the Science and Technology Research Program of Chongqing Municipal Education Commission (KJQN202000710), the Chongqing Natural Science Foundation (CSTB2022NSCQ-MSX1498).

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