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Common fixed point ($\alpha_*$-$\psi$-$\beta_{i}$)-contractive set-valued mappings on orthogonal Branciari $S_{b}$-metric space | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 9، دوره 14، شماره 12، اسفند 2023، صفحه 105-120 اصل مقاله (450.67 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.27426.3597 | ||
| نویسندگان | ||
| Mohammad Rashea Shaeri1؛ Jalal Hassanzadeh Asl* 1؛ Madjid Eshaghi Gordji2؛ Hassan Refaghat1 | ||
| 1Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University, Tabriz, Iran | ||
| 2Department of Mathematics, Semnan University, Semnan, Iran | ||
| تاریخ دریافت: 18 خرداد 1401، تاریخ بازنگری: 28 دی 1401، تاریخ پذیرش: 10 بهمن 1401 | ||
| چکیده | ||
| In [24], Khan et al. established some fixed point theorems in complete and compact metric spaces by using altering distance functions. In [16] Gordji et al. described the notion of orthogonal set and orthogonal metric spaces. In [18] Gungor et al. established fixed point theorems on orthogonal metric spaces via altering distance functions. In [25] Lotfy et al introduced the notion of $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations. In [28] K. Royy et al. described the notion of Branciari $S_b$-metric space and related fixed point theorems with an application. In this paper, we introduce the notion of the common fixed point ($\alpha_*$-$\psi$-$\beta_{i}$)-contractive set-valued mappings on orthogonal Branciari $S_{b}$-metric space with the application of the existence of a unique solution to an initial value problem. | ||
| کلیدواژه‌ها | ||
| $\alpha_*$-$\psi$-$\beta_{i}$)-contractive؛ Branciari $S_{b}$-metric space؛ Common fixed point؛ Solution to an initial value problem | ||
| مراجع | ||
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