## A projected subgradient method for solving generalized mixed variational inequalities.(English)Zbl 1154.58307

Summary: We consider the projected subgradient method for solving generalized mixed variational inequalities. In each step, we choose an $$\varepsilon _k$$-subgradient $$u^k$$ of the function $$f$$ and $$w^k$$ in a set-valued mapping $$T$$, followed by an orthogonal projection onto the feasible set. We prove that the sequence is weakly convergent.

### MSC:

 58E35 Variational inequalities (global problems) in infinite-dimensional spaces 49J40 Variational inequalities
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### References:

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