Interpolative type contraction mappings in $G$-metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 35، دوره 15، شماره 12، اسفند 2024، صفحه 453-464 اصل مقاله (404.62 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.30052.4323 | ||
| نویسندگان | ||
| Naeem Saleem* 1، 2؛ Isa Yildirim3؛ Nilay Gursac3؛ Azhar Hussain4 | ||
| 1Department of Mathematics, University of Management and Technology, Lahore, Pakistan | ||
| 2Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria 0204, South Africa | ||
| 3Department of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, Turkey | ||
| 4Department of Mathematics, University of Chakwal, Pakistan | ||
| چکیده | ||
| In this paper, we defined $\alpha_{G}-$admissible interpolative type contraction mappings in $G$-metric spaces. We proved some convergence results for such classes of mappings using the properties of $G$-metric space and found the fixed point results for such contractive mappings. To elaborate on the results we provided some examples, which show that our results hold in the setting of $G-$metric spaces. | ||
| کلیدواژهها | ||
| G-metric space؛ convergence؛ Interpolation؛ Fixed point | ||
| مراجع | ||
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