On the stability and convergence of Mann iteration process in convex A- metric spaces
General Topology
2021-01-18 v1
Abstract
In this paper, firstly, we introduce the concept of convexity in A-metric spaces and show that Mann iteration process converges to the unique fixed point of Zamfirescu type contractions in this newly defined convex A-metric space. Secondly, we define the concept of stability in convex A-metric spaces and establish stability result for the Mann iteration process considered in such spaces. Our results carry some well-known results from the literature to convex A-metric spaces.
Cite
@article{arxiv.2101.06042,
title = {On the stability and convergence of Mann iteration process in convex A- metric spaces},
author = {Isa Yildirim},
journal= {arXiv preprint arXiv:2101.06042},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1911.04867