Common fixed point theorems for (ψ, φ)-weak nonlinear contraction in partially ordered sets

The purpose of this article is to present some fixed point theorems for ( ψ , φ )-weak contractive mappings in a complete metric space endowed with a partial order. As an application of the main result, we give an existence theorem for the solution of a periodic boundary value problem. 2000 Mathemat...

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Published inFixed point theory and algorithms for sciences and engineering Vol. 2012; no. 1; pp. 1 - 12
Main Authors Gordji, Madjid Eshaghi, Baghani, Hamid, Kim, Gwang Hui
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 18.04.2012
Springer Nature B.V
BioMed Central Ltd
Subjects
Analysis
Applications of Mathematics
Boundary value problems
Classification
Differential Geometry
Existence theorems
Fixed points (mathematics)
Mapping
Mathematical analysis
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric space
Nonlinearity
Theorems
Topology
fixed point
weakly contractive mapping
partially ordered set
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Summary:The purpose of this article is to present some fixed point theorems for ( ψ , φ )-weak contractive mappings in a complete metric space endowed with a partial order. As an application of the main result, we give an existence theorem for the solution of a periodic boundary value problem. 2000 Mathematics Subject Classification : 47H10.
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ISSN:1687-1812
1687-1820
1687-1812
2730-5422
DOI:10.1186/1687-1812-2012-62