Geodesic
Common fixed point of generalized cyclic Banach algebra contractions and Banach algebra Kannan types of mappings on cone quasi metric spaces
Abou Bakr, Sahar Mohamed Ali 1
1 Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 10, p. 644-655.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.012.10.03
Classification : 47H09, 47H10
Keywords: Quasi metric spaces, fixed point theorems, \(\{a,b,c\}\) generalized contractions, generalized \(\phi\) weak contractions, cyclic contraction mappings

Abou Bakr, Sahar Mohamed Ali  1

1 Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt 
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Abou Bakr, Sahar Mohamed Ali . Common fixed point of generalized cyclic Banach algebra contractions and Banach algebra Kannan types of mappings on cone quasi metric spaces. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 10, p. 644-655. doi : 10.22436/jnsa.012.10.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.10.03/

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