Abstract
In this paper, we present a unified approach for studying vector variational inequality problems in finite dimensional spaces via asymptotic analysis. We introduce a class of weak normal mapping by virtue of the vector-valued indicator function. Then, we employ the obtained results to propose a class of proximal-type method to solve the vector variational inequality problems, carry out convergent analysis on the method and prove convergence of the generated sequence to a solution of the vector variational inequality problems under some mild conditions.
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