On α-ψ-Meir-Keeler contractive mappings

In this paper, we introduce the notion of α - ψ -Meir-Keeler contractive mappings via a triangular α -admissible mapping. We discuss the existence and uniqueness of a fixed point of such a mapping in the setting of complete metric spaces. We state a number of examples to illustrate our results. MSC:...

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Vydáno v:Fixed point theory and applications (Hindawi Publishing Corporation) Ročník 2013; číslo 1
Hlavní autoři: Karapınar, Erdal, Kumam, Poom, Salimi, Peyman
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 12.04.2013
Témata:
Analysis
Applications of Mathematics
Differential Geometry
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Topology
triangular
admissible mappings
fixed points
Meir-Keeler contractive mappings
ISSN:1687-1812, 1687-1812
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Shrnutí:In this paper, we introduce the notion of α - ψ -Meir-Keeler contractive mappings via a triangular α -admissible mapping. We discuss the existence and uniqueness of a fixed point of such a mapping in the setting of complete metric spaces. We state a number of examples to illustrate our results. MSC: 46N40, 47H10, 54H25, 46T99.
ISSN:1687-1812
1687-1812
DOI:10.1186/1687-1812-2013-94