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Volume 5, Issue 2, Article 48 |
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Minty Variational Inequalities and Monotone Trajectories of Differential Inclusions
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Authors: |
Giovanni P. Crespi, Matteo Rocca, |
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Keywords:
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Minty variational inequalities, differential inclusions, monotone trajectories, slow solutions. |
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Date Received:
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06/10/2003 |
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Date Accepted:
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17/03/200 |
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Subject Codes: |
34A60, 47J20, 49J52
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Editors: |
Andrea Laforgia, |
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Abstract: |
In [8] the notion of ``projected differential equation'' has been introduced and the stability of solutions has been studied by means of Stampacchia type variational inequalities. More recently, in [20], Minty variational inequalities have been involved in the study of properties of the trajectories of such a projected differential equation.
We consider classical generalizations of both problems, namely projected differential inclusions and variational inequalities with point to set operators, and we extend results stated in [20] to this setting. Moreover, we also apply the results to describe the convergence of the trajectories of a generalized gradient inclusion method.
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