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Existence result for differential variational inequality with relaxing the convexity condition

Author

Listed:
  • Wang, Xing
  • Qi, Ya-wei
  • Tao, Chang-qi
  • Wu, Qi

Abstract

In this paper, a class of differential variational inequalities are studied, and a new approach is introduced to relax the convexity condition. Firstly, an existence theorem of Carathéodory weak solution for the differential variational inequalities is established. Secondly, an algorithm for solving the problem is developed and the convergence analysis for the algorithm is given. Finally, a numerical example is reported to illustrate the proposed algorithm.

Suggested Citation

  • Wang, Xing & Qi, Ya-wei & Tao, Chang-qi & Wu, Qi, 2018. "Existence result for differential variational inequality with relaxing the convexity condition," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 297-306.
    • Handle: RePEc:eee:apmaco:v:331:y:2018:i:c:p:297-306
    DOI: 10.1016/j.amc.2018.03.004
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    References listed on IDEAS

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    1. Xing Wang & Nan-Jing Huang, 2013. "Differential Vector Variational Inequalities in Finite-Dimensional Spaces," Journal of Optimization Theory and Applications, Springer, vol. 158(1), pages 109-129, July.
    2. Xing Wang & Nan-jing Huang, 2014. "A Class of Differential Vector Variational Inequalities in Finite Dimensional Spaces," Journal of Optimization Theory and Applications, Springer, vol. 162(2), pages 633-648, August.
    3. Wang, Xing & Tao, Chang-qi & Tang, Guo-ji, 2015. "A class of differential quadratic programming problems," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 369-377.
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    Cited by:

    1. Xing Wang & Zeng-bao Wu & Yi-bin Xiao & Kok Lay Teo, 2020. "Dynamic variational inequality in fuzzy environments," Fuzzy Optimization and Decision Making, Springer, vol. 19(3), pages 275-296, September.
    2. Zeng, Yue & Zhang, Yao-jia & Huang, Nan-jing, 2024. "A stochastic fractional differential variational inequality with Lévy jump and its application," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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