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Zbl 1143.49009
Xiao, Yi-Bin; Huang, Nan-Jing
Generalized quasi-variational-like hemivariational inequalities. (English)
[J] Nonlinear Anal., Theory Methods Appl. 69, No. 2, A, 637-646 (2008). ISSN 0362-546X

Summary: We introduce and study a new class of generalized quasi-variational-like hemivariational inequalities with multi-valued $\eta $-pseudomonotone operators in Banach spaces. Some new existence theorems of solutions for this class of generalized quasi-variational-like hemivariational inequalities are proved. The results presented in this paper generalize and extend some known results.

MSC 2000:: *49J40 Variational methods including variational inequalities
47H05 Monotone operators (with respect to duality)
47H04 Set-valued operators
49J40 Variational methods including variational inequalities

Keywords: generalized quasi-variational-like hemivariational inequality; multi-valued $\eta $-pseudomonotone mapping; lower semi-continuity; upper semi-continuity; Kneser's minimax inequality

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