Convergence of algorithms for fixed points of relatively nonexpansive mappings via Ishikawa iteration
Functional Analysis
2020-05-13 v2
Abstract
By using the Ishikawa iterative algorithm, we approximate the fixed points and the best proximity points of a relatively non expansive mapping. Also, we use the von Neumann sequence to prove the convergence result in a Hilbert space setting. A comparison table is prepared using a numerical example which shows that the Ishikawa iterative algorithm is faster than some known iterative algorithms such as Picard and Mann iteration.
Keywords
Cite
@article{arxiv.1910.05541,
title = {Convergence of algorithms for fixed points of relatively nonexpansive mappings via Ishikawa iteration},
author = {V. Pragadeeswarar and R. Gopi and Choonkil Park and Dong Yun Shin},
journal= {arXiv preprint arXiv:1910.05541},
year = {2020}
}