Convergence of Iterative Algorithms in Cat(0) Spaces

Noor Saddam  Taresh; Shaimaa S.  Albundi; Salwa Salman  Abed

doi:10.24996/ijs.2022.63.1.24

Authors

Noor Saddam Taresh Ministry of Higher Education and Scientific Researcher, Baghdad, Iraq
Shaimaa S. Albundi Department of Mathematics, college of Education, Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq
Salwa Salman Abed Department of Mathematics, college of Education, Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.1.24

Keywords:

Cat(0) spaces, fixed points, iterative sequences

Abstract

In this article, results have been shown via using a general quasi contraction multi-valued mapping in Cat(0) space. These results are used to prove the convergence of two iteration algorithms to a fixed point and the equivalence of convergence. We also demonstrate an appropriate conditions to ensure that one is faster than others.