Coupled fixed point theorems for generalized Mizoguchi-Takahashi contractions with applications

We derive some new coupled fixed point theorems for nonlinear contractive maps that satisfied a generalized Mizoguchi-Takahashi's condition in the setting of ordered metric spaces. Presented theorems extends and generalize many well-known results in the literature. As an application, we give an...

Full description

Saved in:
Bibliographic Details
Published inFixed point theory and algorithms for sciences and engineering Vol. 2012; no. 1; pp. 1 - 13
Main Authors Ćirić, Ljubomir, Damjanović, Boško, Jleli, Mohamed, Samet, Bessem
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2012
Springer Nature B.V
Subjects
Analysis
Applications of Mathematics
Boundary value problems
Classification
Differential Geometry
Fixed points (mathematics)
Mathematical analysis
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric space
Nonlinearity
Theorems
Topology
Uniqueness theorems
generalized Mizoguchi-Takahashi's contraction
two-point boundary value problem
ordered metric space
mixed monotone mapping
coupled fixed point
Online AccessGet full text
ISSN1687-1812
1687-1820
1687-1812
2730-5422
DOI10.1186/1687-1812-2012-51

Cover

More Information
Summary:We derive some new coupled fixed point theorems for nonlinear contractive maps that satisfied a generalized Mizoguchi-Takahashi's condition in the setting of ordered metric spaces. Presented theorems extends and generalize many well-known results in the literature. As an application, we give an existence and uniqueness theorem for the solution to a two-point boundary value problem. 2000 Mathematics Subject Classification: 54H25; 47H10.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
ObjectType-Feature-2
content type line 23
ISSN:1687-1812
1687-1820
1687-1812
2730-5422
DOI:10.1186/1687-1812-2012-51