In this book we analyze the properties of some notions such as fixed points, periodic points, invariant set and strongly invariant set of Discrete Dynamical System and infuse these notions in BCK-algebra for determining a new class of homomorphic properties as well as new sets which are to be BCK-sub algebras and BCK-ideals. The concept of Discrete Dynamical System in BCK-algebra will establish a foundation for further investigation concerning the development of BCK-algebras and their applications in other disciplines of algebra. The results of this concept will enable the researchers to...