Journal of the Operations Research Society of China ›› 2025, Vol. 13 ›› Issue (2): 630-649.doi: 10.1007/s40305-023-00482-4

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  • 收稿日期:2022-03-21 修回日期:2023-02-25 出版日期:2025-06-30 发布日期:2025-07-07

A Strong Convergence Result for Solving Split Variational Inequality Problem

Jun Yang   

  1. School of Mathematics and Statistics, Xianyang Normal University, Xianyang 712000, Shaanxi, China
  • Received:2022-03-21 Revised:2023-02-25 Online:2025-06-30 Published:2025-07-07
  • Contact: Jun Yang E-mail:xysyyangjun@163.com
  • 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.

Key words: Split variational inequality problem, Projection, Gradient method, Pseudomonotone mapping

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