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Coupled fixed points of generalized Kanann contraction and its applications | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 14، دوره 9، شماره 2، اسفند 2018، صفحه 169-178 اصل مقاله (334.2 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.12355.1628 | ||
| نویسندگان | ||
| Naser Ghafoori Adl1؛ Davood Ebrahimi Bagha* 2؛ Mohammad Sadegh Asgari3 | ||
| 1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics Faculty of Science Islamic Azad University Central Tehran Branch | ||
| 3Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| تاریخ دریافت: 08 شهریور 1396، تاریخ پذیرش: 07 دی 1396 | ||
| چکیده | ||
| The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized Kanann type contractivity of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions admitting only the existence of a mixed $\leq$-solution. | ||
| کلیدواژه‌ها | ||
| Coupled fixed point؛ Generalized Kanann mapping؛ partially ordered set؛ Periodic boundary value problem | ||
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