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Coupled fixed points of generalized rational type Z-contraction maps in b-metric spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 67، دوره 13، شماره 2، مهر 2022، صفحه 789-802 اصل مقاله (429.42 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20566.2172 | ||
| نویسندگان | ||
| Velisela Amarendra Babu1؛ Dasari Ratna Babu2؛ Nasina Siva Prasad* 3، 4 | ||
| 1Department of Mathematics, Acharya Nagarjuna University, Guntur - 522 510, India | ||
| 2Department of Mathematics, PSCMRCET, Vijayawada - 520 001, India | ||
| 3Department of Mathematics, Rayalaseema University, Kurnool - 518 007, India | ||
| 4Department of Mathematics, PBR VITS, Kavali- 524 201, India | ||
| تاریخ دریافت: 17 فروردین 1399، تاریخ بازنگری: 19 خرداد 1399، تاریخ پذیرش: 10 تیر 1399 | ||
| چکیده | ||
| In this paper, we introduce generalized rational type $\mathcal{Z}$-contraction maps for a single map $f:X\times X\to X$ where $X$ is a $b$-metric space and prove the existence and uniqueness of coupled fixed points. We extend it to a pair of maps by defining generalized rational type $\mathcal{Z}$-contraction pair of maps and prove the existence of common coupled fixed points in complete $b$-metric spaces. We provide examples in support of our results. | ||
| کلیدواژهها | ||
| coupled fixed points؛ $b$-metric space؛ generalized rational type $mathcal{Z}$-contraction maps | ||
| مراجع | ||
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