Journal of Global Optimization

, Volume 60, Issue 4, pp 679–688 | Cite as

Existence theorem for a class of generalized quasi-variational inequalities



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 


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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceUniversity of MessinaMessinaItaly

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