Coupled fixed points of generalized Kanann contraction and its applications

نویسندگان
Ghafoori Adl, Naser ID 1
Ebrahimi Bagha, Davood ID 2
Asgari, Mohammad Sadegh ID 3

1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 Department of Mathematics Faculty of Science Islamic Azad University Central Tehran Branch

3 Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran

doi
10.22075/ijnaa.2017.12355.1628
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