Abstract: | In this paper, we study the relationship among the generalized Minty vector variational-like inequality problem, generalized
Stampacchia vector variational-like inequality problem and vector optimization problem for nondifferentiable and nonconvex
functions. We also consider the weak formulations of the generalized Minty vector variational-like inequality problem and
generalized Stampacchia vector variational-like inequality problem and give some relationships between the solutions of these
problems and a weak efficient solution of the vector optimization problem. |