Title of article
Convexity in G-metric spaces and approximation of fixed points by Mann iterative process
Author/Authors
Yildirim, Isa Department of Mathematics - Faculty of Science - Ataturk University, Erzurum, Turkey , Hussain Khan, Safeer Department of Mathematics Statistics and Physics - Qatar University, Doha, Qatar
Pages
8
From page
1957
To page
1964
Abstract
In this paper, we first define the concept of convexity in G-metric spaces. We then use Mann iterative process in this newly defined convex G-metric space to prove some convergence results for some classes of mappings. In this way, we can extend several existence results to those approximating fixed points. Our results are just new in the setting.
Keywords
Convex structure , Convex G-metric space , Mann iterative process , convergence
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2022
Record number
2712779
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