On nondifferentiable and nonconvex vector optimization problems

In this paper, we prove the equivalence among the Minty vector variational- like inequality, Stampacchia vector variational-like inequality, and a nond ifferentiable and nonconvex vector optimization problem. By using a fixed-p oint theorem, we establish also an existence theorem for generalized weakly efficient solutions to the vector optimization problem for nondifferentiab le and nonconvex functions.