Title of article :
Coupled fixed points of generalized Kanann contraction and its applications
Author/Authors :
Ghafoori Adl, Naser Department of Mathematics - Science and Research Branch - Islamic Azad University, Tehran , Ebrahimi Bagha, Davood Department of Mathematics - Faculty of Science - Central Tehran Branch - Islamic Azad University, Tehran , Asgari, Mohammad Sadegh Department of Mathematics - Faculty of Science - Central Tehran Branch - Islamic Azad University, Tehran
Abstract :
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 ≤-solution.
Keywords :
Coupled fixed point , Generalized Kanann mapping , Partially ordered set , Periodic boundary value problem
Journal title :
Astroparticle Physics
