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On generalized vector quasi-variational type inequalities. (English) Zbl 1213.49011

Summary: We consider and study a new class of generalized vector quasi-variational type inequalities and obtain some existence theorems for both under compact and noncompact assumptions in topological vector spaces without using monotonicity. For the noncompact case, we use the concept of escaping sequences.

MSC:

49J40 Variational inequalities
47H05 Monotone operators and generalizations
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