On the existence of solutions to generalized vector variational-like inequalities. (English) Zbl 1134.49006

The authors derive a Minty type lemma for a class of generalized vector variational-like inequalities with set-valued mappings. By means of the Minty type lemma, they also prove some existence results for two classes of vector variational-like inequalities. Their approach is based on the known KKM technique.


49J40 Variational inequalities
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