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

Abstract

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.