Coincidence points of mappings and relations with applications

We obtain coincidence points of mappings and relations under a contractive condition in a metric space. As applications, we achieve an existence and uniqueness theorem of solution for a general class of nonlinear integral equations. 2010 Mathematics Subject Classification: 47H10; 54H25; 54C60.

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Bibliographic Details
Published inFixed point theory and algorithms for sciences and engineering Vol. 2012; no. 1; pp. 1 - 9
Main Author Azam, Akbar
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 26.03.2012
Springer Nature B.V
BioMed Central Ltd
Subjects
Analysis
Applications of Mathematics
Classification
Differential Geometry
Existence theorems
Integral equations
Mapping
Mathematical analysis
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric space
Nonlinearity
Topology
Uniqueness theorems
contractive mappings
Fredholm type
relations
coincidence point
integral equation
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Summary:We obtain coincidence points of mappings and relations under a contractive condition in a metric space. As applications, we achieve an existence and uniqueness theorem of solution for a general class of nonlinear integral equations. 2010 Mathematics Subject Classification: 47H10; 54H25; 54C60.
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ISSN:1687-1812
1687-1820
1687-1812
2730-5422
DOI:10.1186/1687-1812-2012-50