A method of differential and sensitivity properties for weak vector variational inequalities

In this paper, by virtue of a contingent derivative and a \(\Phi\)contingent cone, we investigate differential properties of a class of setvalued maps in a more general setting utilizing Hadamard directional differentials. Then, by means of a gap function, sensitivity properties are discussed for a weak vector variational inequality. We also show that our results extend some existing results in the literature.