Type:
A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
Journal: Nonlinear Analysis, Theory, Methods and Applications (0362546X)Year: 1 March 2010Volume: 72Issue: Pages: 2238 - 2242
DOI:10.1016/j.na.2009.10.023Language: English
Abstract
We present a fixed point theorem for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of a periodic boundary value problem. © 2009 Elsevier Ltd. All rights reserved.
Author Keywords
Contraction type mapsDifferential equationsFixed pointsPartially ordered metric spaces
Other Keywords
Set theoryShrinkageTopologyComplete metric spaceContraction type mapsExistence and uniquenessFixed point theoremsFixed pointsMetric spacesPartially ordered metric spacesPeriodic boundary value problemsOrdinary differential equations