Fixed points for cyclic R-contractions and solution of nonlinear Volterra integro-differential equations

In this paper, we introduce the notion of cyclic R -contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to support the main result. Our result unify, complement, and generalize various comparable...

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Bibliographic Details
Published inFixed point theory and algorithms for sciences and engineering Vol. 2016; no. 1; pp. 1 - 9
Main Authors Abbas, Mujahid, Latif, Abdul, Suleiman, Yusuf I
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2016
Springer Nature B.V
Subjects
Analysis
Applications of Mathematics
Complement
Differential Geometry
Fixed points (mathematics)
Mapping
Mathematical analysis
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric space
Nonlinearity
Recent Progress in Fixed Point Theory and Applications
Topology
47H10
Meer-Keeler functions
fixed point
simulation functions
47H09
cyclic contractions
contractions
54H25
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Summary:In this paper, we introduce the notion of cyclic R -contraction mapping and then study the existence of fixed points for such mappings in the framework of metric spaces. Examples and application are presented to support the main result. Our result unify, complement, and generalize various comparable results in the existing literature.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1687-1812
1687-1812
2730-5422
DOI:10.1186/s13663-016-0552-1