A Strong Convergence Result for Solving Split Variational Inequality Problem

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  • School of Mathematics and Statistics, Xianyang Normal University, Xianyang 712000, Shaanxi, China

Received date: 2022-03-21

  Revised date: 2023-02-25

  Online published: 2025-07-07

Supported by

This work was supported by the Natural Science Foundation of Shaanxi Province of China (No. 2023-443 JC-YB-049) and a project of Academic Leader of Xianyang Normal University (No. XSYXSDT202106).

Abstract

The purpose of this work is to investigate a new projection and contraction algorithm for solving split variational inequality problem. The strong convergence of the algorithm is established without the knowledge of the Lipschitz constants and the bounded linear operator norm. Finally, we consider some preliminary numerical experiments to show the advantages of proposed algorithm.

Cite this article

Jun Yang . A Strong Convergence Result for Solving Split Variational Inequality Problem[J]. Journal of the Operations Research Society of China, 2025 , 13(2) : 630 -649 . DOI: 10.1007/s40305-023-00482-4

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