INTERVAL VALUED VECTOR VARIATIONAL INEQUALITIES AND VECTOR OPTIMIZATION PROBLEMS VIA CONVEXIFICATORS

In this study, we take into account interval -valued vector optimization problems ( IV OP ) and obtain their relationships to interval vector variational inequalities ( IV V I ) of Stampacchia and Minty kind in aspects of convexificators, as well as the ( IV OP ) LU-efficient solution under the LU-convexity assumption. Additionally, we examine the weak version of the ( IV V I ) of the Stampacchia and Minty kind and determine the relationships between them and the weakly LU-efficient solution of the ( IV OP ). The results of this study improve and generalizes certain earlier results from the literature.