Inverse Tensor Variational Inequalities and Applications

Francesca Anceschi (), Annamaria Barbagallo () and Serena Guarino Lo Bianco ()
Additional contact information
Francesca Anceschi: University of Naples Federico II
Annamaria Barbagallo: University of Naples Federico II
Serena Guarino Lo Bianco: University of Modena e Reggio Emilia

Journal of Optimization Theory and Applications, 2023, vol. 196, issue 2, No 8, 570-589

Abstract: 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.

Keywords: Tensor variational inequality; Inverse tensor variational inequality; Noncooperative game; Well-posedness; Tikhonov regularization method; 49N45; 49J40; 49K40; 90C33; 91A10 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-022-02150-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:196:y:2023:i:2:d:10.1007_s10957-022-02150-8

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-022-02150-8

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().