The Hemivariational Inequalities for an Upper Semicontinuous Set-valued Mapping

Y. L. Zhang () and Y. R. He
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Y. L. Zhang: Sichuan Normal University
Y. R. He: Sichuan Normal University

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 3, No 10, 716-725

Abstract: 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.

Keywords: Hemivariational inequality; Clarke’s generalized gradient; Upper semicontinuous mapping; Coerciveness condition (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-012-0072-z

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