ON GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES AND VECTOR OPTIMIZATION PROBLEMS

Dapeng Gao, Shiqiang Feng · 2013

In this paper, some solution relationships between nonsmooth vector optimization problems and generalized vector variational-like inequalities are established under pseudoinvexity or invariant pseudomonotonicity. A perturbed generalized weak Stampacchia vector variational-like inequality problem and its relation with generalized weak Minty vector variational-like inequality problem are also presented.

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