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

Authors :
Peng, Zai-Yun
Peng, Zhi-Ying
Cai, Gang
Li, Gao-Xi
Source :
Applicable Analysis. Jun2024, Vol. 103 Issue 10, p1769-1789. 21p.
Publication Year :
2024

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00036811
Volume :
103
Issue :
10
Database :
Academic Search Index
Journal :
Applicable Analysis
Publication Type :
Academic Journal
Accession number :
177739148
Full Text :
https://doi.org/10.1080/00036811.2023.2267576