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Fixed point for $\alpha_{*}$-$\psi$-$\beta_{i}$-contractive set-valued mappings on Branciari $S_{b}$-metric space | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 29، دوره 15، شماره 12، اسفند 2024، صفحه 369-384 اصل مقاله (459.67 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.28045.3793 | ||
| نویسندگان | ||
| Minoo Vatani1؛ Jalal Hassanzadeh Asl* 2؛ Madjid Eshaghi Gordji3؛ Mohammad Jahangiri Rad2 | ||
| 1Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University, Tabriz, Iran | ||
| 2Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University, Tabriz, Iran | ||
| 3Department of Mathematics, Semnan University, Semnan, Iran | ||
| تاریخ دریافت: 20 مرداد 1401، تاریخ بازنگری: 25 دی 1402، تاریخ پذیرش: 12 بهمن 1402 | ||
| چکیده | ||
| In 1984, Khan et al. established some fixed point theorems in complete and compact metric spaces by altering distance functions. In 2020, Lotfy et al. introduced the $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces applied to fractional integral equations. In 2022, Roy 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 fixed point theorems for $\alpha_{*}$-$\psi$-$\beta_{i}$-contractive set-valued mappings on Branciari $S_{b}$-metric space with application to fractional integral equations. | ||
| کلیدواژه‌ها | ||
| $\alpha_{*}$-$\psi$-$\beta_{i}$-contractive؛ Branciari $S_{b}$-metric space؛ Fixed points؛ Fractional integral equations | ||
| مراجع | ||
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