On a class of variational-hemivariational inequalities involving set valued mappings
- 1 January 2010
- journal article
- Published by ISTE Group in Advances in Pure and Applied Mathematics
- Vol. 1 (2) , 233-246
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
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This publication has 12 references indexed in Scilit:
- Weak solvability of antiplane frictional contact problems for elastic cylindersNonlinear Analysis: Real World Applications, 2010
- Solvability of dynamic antiplane frictional contact problems for viscoelastic cylindersNonlinear Analysis, 2009
- ON EIGENVALUE PROBLEMS FOR ELLIPTIC HEMIVARIATIONAL INEQUALITIESProceedings of the Edinburgh Mathematical Society, 2008
- On Quasimonotone Variational InequalitiesJournal of Optimization Theory and Applications, 1998
- Some properties of convex sets related to fixed point theoremsMathematische Annalen, 1984
- Nonlinear maximal monotone operators in Banach spaceMathematische Annalen, 1968
- Variational inequalitiesCommunications on Pure and Applied Mathematics, 1967
- On the generalization of a direct method of the calculus of variationsBulletin of the American Mathematical Society, 1967
- On some non-linear elliptic differential-functional equationsActa Mathematica, 1966
- Ein Beweis des Fixpunktsatzes für n-dimensionale SimplexeFundamenta Mathematicae, 1929