New fixed point theorems on order intervals and their applications

In this paper, we prove the existence of fixed points for nonlinear and semilinear operators on order intervals. The abstract results unified some methods in studying the existence of positive solutions for boundary and initial value problems of nonlinear difference and differential equations. Appli...

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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering 2015-11, Vol.2015 (1), p.1-10, Article 218
Main Authors: Feng, Wenying, Zhang, Guang
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Boundary value problems
Differential equations
Differential Geometry
Fixed points (mathematics)
Initial value problems
Intervals
Mathematical analysis
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Nonlinearity
Operators
Theorems
Topology
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Summary:In this paper, we prove the existence of fixed points for nonlinear and semilinear operators on order intervals. The abstract results unified some methods in studying the existence of positive solutions for boundary and initial value problems of nonlinear difference and differential equations. Applications are shown by examples.
ISSN:1687-1812
1687-1812
2730-5422
DOI:10.1186/s13663-015-0467-2