A study on vector variational-like inequalities using convexificators and application to its bi-level form

<p style='text-indent:20px;'>This paper deals with the weak versions of vector variational-like inequalities, namely Stampacchia and Minty type under invexity in framework convexificators. The connection between both problems along link to optimization problem are analyzed. An application nonconvex mathematical programming has also been presented. Further, bi-level version these is formulated a procedure obtain solution involving auxiliary principle technique described detail. We have shown that iterative algorithm help which we get approximate converges strongly exact problem.</p>