Coupled fixed points of generalized rational type Z-contraction maps in b-metric spaces

	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
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
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