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This paper proves the existence of a unique common fixed point of two self mappings defined on complete cone quasi metric space 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 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.

Common fixed point of generalized cyclic Banach algebra contractions and Banach algebra Kannan types of mappings on cone quasi metric spaces