Henig proper generalized vector quasiequilibrium problems

In this paper, we give sufficient conditions for the existence of a Henig proper efficient solution of a general model in the theory of set‐valued vector quasiequilibrium problems with moving cones. The main result of this paper is new, and is established under assumptions of existence of open lower sections and some properties of cone‐semicontinuity and cone‐concavity of set‐valued maps. The moving cones are assumed to have bases which are Hausdorff lower semicontinuous and satisfy an additional suitable property.