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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Bibliographic Details
Published in:	Fixed point theory and applications (Hindawi Publishing Corporation) Vol. 2013; no. 1
Main Authors:	Karapınar, Erdal, Kumam, Poom, Salimi, Peyman
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 12.04.2013
Subjects:	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
Online Access:	Get full text
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Summary:	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