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Inverse Tensor Variational Inequalities and Applications

Author

Listed:
  • Francesca Anceschi

    (University of Naples Federico II)

  • Annamaria Barbagallo

    (University of Naples Federico II)

  • Serena Guarino Lo Bianco

    (University of Modena e Reggio Emilia)

Abstract

The paper aims to introduce inverse tensor variational inequalities and analyze their application to an economic control equilibrium model. More precisely, some existence and uniqueness results are established and the well-posedness analysis is investigated. Moreover, the Tikhonov regularization method is extended to tensor inverse problems to study them when they are ill-posed. Lastly, the policymaker’s point of view for the oligopolistic market equilibrium problem is introduced. The equivalence between the equilibrium conditions and a suitable inverse tensor variational inequality is established.

Suggested Citation

  • Francesca Anceschi & Annamaria Barbagallo & Serena Guarino Lo Bianco, 2023. "Inverse Tensor Variational Inequalities and Applications," Journal of Optimization Theory and Applications, Springer, vol. 196(2), pages 570-589, February.
    • Handle: RePEc:spr:joptap:v:196:y:2023:i:2:d:10.1007_s10957-022-02150-8
    DOI: 10.1007/s10957-022-02150-8
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    References listed on IDEAS

    as
    1. Zheng-Hai Huang & Liqun Qi, 2019. "Tensor Complementarity Problems—Part I: Basic Theory," Journal of Optimization Theory and Applications, Springer, vol. 183(1), pages 1-23, October.
    2. Annamaria Barbagallo & Serena Guarino Lo Bianco, 2020. "On ill-posedness and stability of tensor variational inequalities: application to an economic equilibrium," Journal of Global Optimization, Springer, vol. 77(1), pages 125-141, May.
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    Citations

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    Cited by:

    1. Annamaria Barbagallo & Bruno Antonio Pansera & Massimiliano Ferrara, 2024. "Notes on random optimal control equilibrium problem via stochastic inverse variational inequalities," Computational Management Science, Springer, vol. 21(1), pages 1-21, June.
    2. Waqar Afzal & Mujahid Abbas & Omar Mutab Alsalami, 2024. "Bounds of Different Integral Operators in Tensorial Hilbert and Variable Exponent Function Spaces," Mathematics, MDPI, vol. 12(16), pages 1-33, August.

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