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

Zhi-bin Liu, Jian-hong Gou, Yi-bin Xiao and Xue-song Li

Journal of Applied Mathematics, 2013, vol. 2013, 1-9

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:305068

DOI: 10.1155/2013/305068

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