Topological transitivity in quasi-continuous dynamical systems

A quasi-continuous dynamical system is a pair ( X , f ) consisting of topological space and mapping : ? such that n for all ? N where the set non-negative integers. In this paper, we show under appropriate assumptions, various definitions concept transitivity are equivalent in system. Our main results establish equivalence point These extend some classical on continuous systems [3] [10] [24] [7] [8] .