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Existence theorem for a class of generalized quasi-variational inequalities

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Abstract

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.

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  1. Department of Mathematics and Computer Science, University of Messina, Viale F. Stagno D’Alcontres, 31, 98166 , Messina, Italy

    Monica Milasi

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  1. Monica Milasi
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Correspondence to Monica Milasi.

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Milasi, M. Existence theorem for a class of generalized quasi-variational inequalities. J Glob Optim 60, 679–688 (2014). https://doi.org/10.1007/s10898-013-0114-6

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  • DOI: https://doi.org/10.1007/s10898-013-0114-6

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