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arXiv · 2101.06042

On the stability and convergence of Mann iteration process in convex A- metric spaces

Isa Yildirim
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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.

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BibTeXRIS

Isa Yildirim. 2021-01-15. On the stability and convergence of Mann iteration process in convex A- metric spaces. https://arxiv.org/abs/2101.06042

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