TY - JOUR AU - Abou Bakr, Sahar Mohamed Ali PY - 2019 TI - Common fixed point of generalized cyclic Banach algebra contractions and Banach algebra Kannan types of mappings on cone quasi metric spaces JO - Journal of Nonlinear Sciences and Applications SP - 644--655 VL - 12 IS - 10 AB - This paper proves the existence of a unique common fixed point of two self mappings defined on complete cone quasi metric space \(\mathfrak{C}\) with respect to Banach algebra, consequently in particular, it proves the existence of only one fixed point of a generalized cyclic Banach algebra contraction and a cyclic Banach algebra Kannan type mappings with respect to a couple of non empty subsets \((A, B)\) of a complete cone quasi metric space \(\mathfrak{C}\). These existences extend the fixed point results of the attached references and then generalized the corresponding classical results in usual Banach spaces as well. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.012.10.03 DO - 10.22436/jnsa.012.10.03 ID - Abou Bakr2019 ER -