Convergence Theorems of Three-Step Iteration Algorithm in CAT (0) Spaces

Authors

  • Ahmed Jameel Kadhim Department of Computer Science, College of Science for Women, University of Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.4.22

Keywords:

CAT (0) space, Joint fixed points, Non-expansive mapping, Contraction, Strong convergence, Δ-convergence, Stable

Abstract

      In this paper, a modified three-step iteration algorithm for approximating a joint fixed point of non-expansive and contraction mapping is studied. Under appropriate conditions, several strong convergence theorems and Δ-convergence theorems are established in a complete CAT (0) space. a numerical example is introduced to show that this modified iteration algorithm is faster than other iteration algorithms. Finally, we prove that the modified iteration algorithm is stable. Therefore these results are extended and improved to a novel results that are stated by other researchers. Our results are also complement to many well-known theorems in the literature. This type of research can be played a vital role in computer programming, game theory and computational analysis.

Downloads

Download data is not yet available.

Downloads

Published

2022-04-30

How to Cite

Kadhim, A. J. . (2022). Convergence Theorems of Three-Step Iteration Algorithm in CAT (0) Spaces. Iraqi Journal of Science, 63(4). https://doi.org/10.24996/ijs.2022.63.4.22

Issue

Section

Mathematics