Fixed points of a new type of contractive mappings in complete metric spaces

In the article, we introduce a new concept of contraction and prove a fixed point theorem which generalizes Banach contraction principle in a different way than in the known results from the literature. The article includes an example which shows the validity of our results, additionally there is de...

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Vydáno v:Fixed point theory and algorithms for sciences and engineering Ročník 2012; číslo 1; s. 1 - 6
Hlavní autor: Wardowski, Dariusz
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 07.06.2012
Springer Nature B.V
Témata:
Analysis
Applications of Mathematics
Delivery contracts
Differential Geometry
Fixed points (mathematics)
Mapping
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric space
Theorems
Topology
contractive mapping
complete metric space
F-contraction
fixed point
ISSN:1687-1812, 1687-1820, 1687-1812, 2730-5422
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Shrnutí:In the article, we introduce a new concept of contraction and prove a fixed point theorem which generalizes Banach contraction principle in a different way than in the known results from the literature. The article includes an example which shows the validity of our results, additionally there is delivered numerical data which illustrates the provided example. MSC: 47H10; 54E50
Bibliografie:SourceType-Scholarly Journals-1
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ISSN:1687-1812
1687-1820
1687-1812
2730-5422
DOI:10.1186/1687-1812-2012-94