Period two implies chaos for a class of multivalued maps: A naive approach

On the background of our earlier results concerning the coexistence of infinitely many periodic orbits, we present a new theorem dealing with a large class of one-dimensional multivalued maps with monotone margins and connected values. If a nontrivial (n>1) n-orbit occurs then, according to our theorem, these maps possess a single-valued chaotic selection, on a compact subinterval.