Convexity in G-metric spaces and approximation of fixed points by Mann iterative process | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 162، دوره 13، شماره 1، خرداد 2022، صفحه 1957-1964 اصل مقاله (330.34 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21435.2259 | ||
| نویسندگان | ||
| Isa Yildirim* 1؛ Safeer Hussain Khan2 | ||
| 1Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, 25240, Turkey | ||
| 2Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Convex structure؛ Convex G-metric space؛ Mann iterative process؛ convergence | ||
| مراجع | ||
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