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A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings
Joint Authors
Li, Xue-song
Gou, Jian-hong
Liu, Zhi-bin
Xiao, Yi-bin
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Zhi-bin& Gou, Jian-hong& Xiao, Yi-bin& Li, Xue-song. 2013. A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-461916
Modern Language Association (MLA)
Liu, Zhi-bin…[et al.]. A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-461916
American Medical Association (AMA)
Liu, Zhi-bin& Gou, Jian-hong& Xiao, Yi-bin& Li, Xue-song. A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-461916
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461916