On weak topological BCK-algebras

Abstract

The aim of this paper is to study and investigate the concept of weak topological BCK- algebras which is obtained by combining a certain topology to a BCK-algebra that makes the binary operation defined on the BCK-algebra compatible. Several properties of weak topological BCK-algebras are investigated. Continuity between weak topological BCK- algebra is studied and a new topology is constructed by using special subsets of a BCK- algebra and further results are obtained.