Open AccessConvergence of Iterative Algorithms in Cat(0) Spaces
Author(s) -
Noor Saddam Taresh,
Shaimaa S. Al-Bundi,
Salwa Salman Abed
Publication year - 2022
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2022.63.1.24
Subject(s) - convergence (economics) , equivalence (formal languages) , fixed point , mathematics , contraction mapping , algorithm , contraction (grammar) , iterative method , compact convergence , weak convergence , convergence tests , mathematical optimization , space (punctuation) , computer science , discrete mathematics , mathematical analysis , rate of convergence , telecommunications , medicine , channel (broadcasting) , economics , economic growth , operating system , computer security , asset (computer security)
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.