Topologically multiplyF-recurrent operators in the context of locally compact hypergroups

Here we introduce topologically multiply F -recurrent collections \{T_t\}t ∈ S of bounded linear operators on a Banach space X , where F is a Furstenberg family for a semigroup S . Then, we give some equivalent conditions for a collection \{Ta_t, w_t\}t ∈ S of weighted translation operators on an Orlicz space in the context of a locally compact hypergroup to be topologically multiply F -recurrent.