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Relationships between vector variational-like inequality and optimization problems. (English) Zbl 1106.90060

Summary: We will establish the relationships between vector variational-like inequality and optimization problems. We will be able to identify the vector critical points, the weakly efficient points and the solutions of the weak vector variational-like inequality problem, under conditions of pseudo invexity. These conditions are more general those existing in the literature.

MSC:

90C26 Nonconvex programming, global optimization
49J40 Variational inequalities
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