## Generalized quasi-variational-like hemivariational inequalities.(English)Zbl 1143.49009

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:

 49J40 Variational inequalities 47H05 Monotone operators and generalizations 47H04 Set-valued operators
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### References:

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