The paper deals with the study of tensor variational inequalities under pseudo-monotonicity assumptions. Several preliminary results are proved in order to show some properties of their solution set. Moreover a supply chain network in which every firm produces several commodities and shares common storage sites or distributors is proposed. The noncooperative behaviour of the firms is expressed by a tensor variational inequality. Thus the existence of the equilibrium distribution is obtained.
On the pseudo-monotonicity of tensor variational inequalities and applications / Barbagallo, A.; Guarino Lo Bianco, S.. - In: PURE AND APPLIED FUNCTIONAL ANALYSIS. - ISSN 2189-3756. - 8:5(2023), pp. 1283-1300.
On the pseudo-monotonicity of tensor variational inequalities and applications
Guarino Lo Bianco S.
2023
Abstract
The paper deals with the study of tensor variational inequalities under pseudo-monotonicity assumptions. Several preliminary results are proved in order to show some properties of their solution set. Moreover a supply chain network in which every firm produces several commodities and shares common storage sites or distributors is proposed. The noncooperative behaviour of the firms is expressed by a tensor variational inequality. Thus the existence of the equilibrium distribution is obtained.
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