Journal of Global Optimization

, Volume 60, Issue 4, pp 679-688

First online:

Existence theorem for a class of generalized quasi-variational inequalities

  • Monica MilasiAffiliated withDepartment of Mathematics and Computer Science, University of Messina Email author 

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In this paper we consider a class of generalized quasi-variational inequalities. The variational problem is studied in the convex set \(X\times Y\), with \(Y\) bounded and \(X\) unbounded. In the latter settings, we investigate about the solvability of the problem. In particular, by using the perturbation theory, we give an existence result of the solution without requesting any coercivity hypothesis on the operator. Finally, we give an application to the obtained theoretical results in terms of an economic equilibrium problem.


Generalized quasi-variational inequalities Economic equilibrium problem

Mathematics Subject Classification

49J40 58E35 90C33