%0 Journal Article
%T Coupled fixed points of generalized Kanann contraction and its applications
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Ghafoori Adl, Naser
%A Ebrahimi Bagha, Davood
%A Asgari, Mohammad Sadegh
%D 2018
%\ 12/19/2018
%V 9
%N 2
%P 169-178
%! Coupled fixed points of generalized Kanann contraction and its applications
%K Coupled fixed point
%K Generalized Kanann mapping
%K partially ordered set
%K Periodic boundary value problem
%R 10.22075/ijnaa.2017.12355.1628
%X 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.
%U https://ijnaa.semnan.ac.ir/article_3523_0f18082d7d6d237aaa0fc831ba4718d4.pdf