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Volume 4, Issue 1, 1 April 2020, Pages 87-105
Abstract. The paper deals with the study of a tensor variational inequality and some projection methods to solve them. In particular, some properties on the solutions to such an inequality are established and a fixed point theorem is proved. Moreover, some numerical methods are introduced and the convergence analysis of them is investigated. All the theoretical results are applied to analyze a general oligopolistic market equilibrium problem in which each firm produces several commodities and has some production excesses since the equilibrium condition is characterized by means of a tensor variational inequality. A numerical example is also discussed.
How to Cite this Article:
Annamaria Barbagallo, Serena Guarino Lo BIanco, Gerardo Toraldo, Tensor variational inequalities: theoretical results, numerical methods and applications to an economic equilibrium model, J. Nonlinear Var. Anal. 4 (2019), 87-105.