Some fixed point theorems concerning F-contraction in complete metric spaces

In this paper, we extend the result of Wardowski (Fixed Point Theory Appl. 2012:94, 2012) by applying some weaker conditions on the self map of a complete metric space and on the mapping F , concerning the contractions defined by Wardowski. With these weaker conditions, we prove a fixed point result...

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Published inFixed point theory and algorithms for sciences and engineering Vol. 2014; no. 1; pp. 1 - 11
Main Authors Piri, Hossein, Kumam, Poom
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 13.10.2014
Springer Nature B.V
Subjects
Analysis
Applications of Mathematics
Differential Geometry
Fixed points (mathematics)
Mapping
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric space
Theorems
Topology
metric space
fixed point
contraction
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ISSN1687-1812
1687-1812
2730-5422
DOI10.1186/1687-1812-2014-210

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Summary:In this paper, we extend the result of Wardowski (Fixed Point Theory Appl. 2012:94, 2012) by applying some weaker conditions on the self map of a complete metric space and on the mapping F , concerning the contractions defined by Wardowski. With these weaker conditions, we prove a fixed point result for F -Suzuki contractions which generalizes the result of Wardowski. MSC: 74H10, 54H25.
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ISSN:1687-1812
1687-1812
2730-5422
DOI:10.1186/1687-1812-2014-210