Orbit of an Eventually Periodic Points and Periodic points
Abstract
In this paper, Orbits of an Eventually periodic points and Periodic points were studied. The concept of an eventuality of an eventually periodic point introduced which helps in obtaining its orbit precisely. Unlike the case of a periodic point, the iterated images of an eventually periodic point need not always be periodic.Relation between orbit of eventually periodic points and orbit of a function were also obtained. Some results of considerable importance about the orbit of a point and relation with eventually periodic point were also proved. The equivalence was obtained between different points of a periodic function. Some results of the set theory that play an important role in our studies were included.