In this paper, we prove a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Let k be an integer and let V be a Euclidean space such that 0 ≤ k ≤ dimV , then the k-Grassmannian manifold of V , denoted Gk(V), is the set of all the k-dimensional subspaces of V . The set Gk(V) is a smooth compact manifold but, in gen...
