Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070420181101Algebraic distance in algebraic cone metric spaces and its properties273280545075ENK. FallahiDepartment of Mathematics, Payame Noor University, Tehran, IranG. Soleimani RadDepartment of Mathematics, Payame Noor University, Tehran, IranJournal Article20180730In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.http://jlta.iauctb.ac.ir/article_545075_a934f93384fa651d0bf07e93cc01750b.pdf