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A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings
- Source :
- Journal of Applied Mathematics, Vol 2013 (2013), J. Appl. Math.
- Publication Year :
- 2013
- Publisher :
- Hindawi Publishing Corporation, 2013.
-
Abstract
- By using surjectivity theorem of pseudomonotone and coercive operators rather than the KKM theorem and fixed point theorem used in recent literatures, we obtain some conditions under which a system of generalized variational-hemivariational inequalities concerning set-valued mappings, which includes as special cases many problems of hemivariational inequalities studied in recent literatures, is solvable. As an application, we prove an existence theorem of solutions for a system of generalized variational-hemivariational inequalities involving integrals of Clarke's generalized directional derivatives.
Details
- Language :
- English
- ISSN :
- 1110757X
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Mathematics
- Accession number :
- edsair.doi.dedup.....8051c5d0655fd8b7f9a535a16ebb6462
- Full Text :
- https://doi.org/10.1155/2013/305068