Coupled fixed points of generalized Kanann contraction and its applications

	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
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
آمار تعداد مشاهده مقاله: 43,544 تعداد دریافت فایل اصل مقاله: 50,762

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