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On a class of variational-hemivariational inequalities involving set valued mappings
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Nicusor Costea
Published/Copyright:
March 19, 2010
Abstract
Using the KKM technique, we establish some existence results for variational-hemivariational inequalities involving monotone set valued mappings on bounded, closed and convex subsets in reflexive Banach spaces. We also derive several sufficient conditions for the existence of solutions in the case of unbounded subsets.
Keywords.: Variational-hemivariational inequalities; Clarke's generalized gradient; KKM mapping; set valued mappings; monotone mappings; existence of solutions
Received: 2009-05-02
Revised: 2009-05-11
Published Online: 2010-03-19
Published in Print: 2010-June
© de Gruyter 2010
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Keywords for this article
Variational-hemivariational inequalities;
Clarke's generalized gradient;
KKM mapping;
set valued mappings;
monotone mappings;
existence of solutions
Articles in the same Issue
- An analog of Morgan's theorem for the Kontorovich–Lebedev transform
- Positivity of the Jacobi–Cherednik intertwining operator and its dual
- Absolute continuity of the representing measures of the Dunkl intertwining operator and of its dual and applications
- Cut-primitive directed graphs versus clan-primitive directed graphs
- On a class of variational-hemivariational inequalities involving set valued mappings
- Extremal problems in the class of analytic functions associated with Wright's function
- Averages on annuli of Euclidean space
- On the basis graph of a matroid of arbitrary cardinality
- Locally compact groups which are just not compact
