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Inverse Tensor Variational Inequalities and Applications

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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.

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Acknowledgements

The first author is funded by the research grant PRIN2017 2017AYM8XW “Nonlinear Differential Problems via Variational, Topological and Set-valued Methods.” The second and third authors were partially supported by PRIN2017 2017AYM8XW “Nonlinear Differential Problems via Variational, Topological and Set-valued Methods.” The authors are members of Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of INdAM.

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Authors and Affiliations

  1. Department of Mathematics and Applications “R. Caccioppoli”, University of Naples Federico II, Naples, Italy

    Francesca Anceschi & Annamaria Barbagallo

  2. Department of Physical, Computer and Mathematical Sciences, University of Modena e Reggio Emilia, Modena, Italy

    Serena Guarino Lo Bianco

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  1. Francesca Anceschi
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  2. Annamaria Barbagallo
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  3. Serena Guarino Lo Bianco
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Correspondence to Annamaria Barbagallo.

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Communicated by Suliman Saleh Al-Homidan.

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Anceschi, F., Barbagallo, A. & Guarino Lo Bianco, S. Inverse Tensor Variational Inequalities and Applications. J Optim Theory Appl 196, 570–589 (2023). https://doi.org/10.1007/s10957-022-02150-8

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  • DOI: https://doi.org/10.1007/s10957-022-02150-8

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