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A new extension of the Darbo theorem for the Schauder type selections with an application | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 5، دوره 15، شماره 10، دی 2024، صفحه 51-58 اصل مقاله (349.4 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28691.3966 | ||
| نویسندگان | ||
| Ehsan Lotfali Ghasab؛ Hamid Majani* | ||
| Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran | ||
| تاریخ دریافت: 21 مهر 1401، تاریخ بازنگری: 22 بهمن 1401، تاریخ پذیرش: 07 خرداد 1402 | ||
| چکیده | ||
| In the present article, we provide a new nonlinear contraction for the Schauder type selections of multi-valued mappings in metric spaces which is a new spread of the Darbo theorem. Meanwhile, we apply the main results in coupled fixed-point theory and functional integral equation. | ||
| کلیدواژه‌ها | ||
| Measure of noncompactness؛ Schauder type selections؛ Darbo theorem؛ multi-valued mapping؛ complete metric spaces | ||
| مراجع | ||
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