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Modified Projection Methods for Solving Multi-valued Variational Inequality without Monotonicity

Author

Listed:
  • Xin He

    (Sichuan University)

  • Nan-jing Huang

    (Sichuan University)

  • Xue-song Li

    (Sichuan University)

Abstract

In this paper, we propose two new projection-type algorithms for solving the multi-valued variational inequality in finite dimensional spaces. We prove the convergence of the sequences generated by the proposed projection-type algorithms without any monotonicity. Moreover, we provide some numerical experiments to illustrate the efficiency of the proposed projection-type algorithms.

Suggested Citation

  • Xin He & Nan-jing Huang & Xue-song Li, 2022. "Modified Projection Methods for Solving Multi-valued Variational Inequality without Monotonicity," Networks and Spatial Economics, Springer, vol. 22(2), pages 361-377, June.
    • Handle: RePEc:kap:netspa:v:22:y:2022:i:2:d:10.1007_s11067-019-09485-2
    DOI: 10.1007/s11067-019-09485-2
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    References listed on IDEAS

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