Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems

The purpose of this paper is to present some new fixed point theorems for mixed monotone operators with perturbation by using the properties of cones and a fixed point theorem for mixed monotone operators. As applications, we utilize the results obtained in this paper to study the existence and uniq...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear analysis 2012-03, Vol.75 (4), p.2542-2551
Main Authors: Zhai, Chengbo, Hao, Mengru
Format: Article
Language:English
Subjects:
Boundary value problems
Differential equations
Fixed point
Fixed points (mathematics)
Fractional differential equation
Mathematical analysis
Mixed monotone operator
Nonlinearity
Normal cone
Operators
Perturbation methods
Positive solution
Riemann–Liouville derivative
Theorems
Uniqueness
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The purpose of this paper is to present some new fixed point theorems for mixed monotone operators with perturbation by using the properties of cones and a fixed point theorem for mixed monotone operators. As applications, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for nonlinear fractional differential equation boundary value problems.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2011.10.048