The Hemivariational Inequalities for an Upper Semicontinuous Set‐valued Mapping

The Hemivariational Inequalities for an Upper Semicontinuous Set‐valued Mapping

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Article ID: iaor20131996
Volume: 156
Issue: 3
Start Page Number: 716
End Page Number: 725
Publication Date: Mar 2013
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: programming: convex
Abstract:

We establish some existence results for hemivariational inequalities of Stampacchia type involving an upper semicontinuous set‐valued mapping on a bounded, closed and convex subset in ℝ n . We also derive a sufficient condition for the existence and boundedness of solution, without assuming boundedness of the constraint set.

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