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A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings

Authors :
Xue-song Li
Yi-bin Xiao
Jian-hong Gou
Zhi-bin Liu
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