The Hemivariational Inequalities for an Upper Semicontinuous Set-valued Mapping

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 boundedn...

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Published in:Journal of optimization theory and applications 2013-03, Vol.156 (3), p.716-725
Main Authors: Zhang, Y. L., He, Y. R.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Banach spaces
Calculus of Variations and Optimal Control
Optimization
Engineering
Euclidean space
Inequalities
Inequality
Mapping
Mathematical models
Mathematics
Mathematics and Statistics
Mechanics
Operations Research/Decision Theory
Optimization
Studies
Theory of Computation
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He, Y. R.
description 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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subjects Applications of Mathematics
Banach spaces
Calculus of Variations and Optimal Control
Optimization
Engineering
Euclidean space
Inequalities
Inequality
Mapping
Mathematical models
Mathematics
Mathematics and Statistics
Mechanics
Operations Research/Decision Theory
Optimization
Studies
Theory of Computation
title The Hemivariational Inequalities for an Upper Semicontinuous Set-valued Mapping
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