Fixed Point Theorems for Α-Geraghty Contraction Type Maps in Metric Spaces
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Springer int Publ Ag
Open Access Color
GOLD
Green Open Access
No
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No
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Average
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Top 10%
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Top 10%
Abstract
In this paper, we introduce a notion of alpha-Geraghty contraction type maps in the setting of a metric space. We also establish some fixed point theorems for such maps and give an example to illustrate our results. Finally, we discuss the application of our main results in the research fields of ordinary differential equations.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254
ORCID
Keywords
fixed point, contraction type mapping, alpha-Geraghty contraction type map, metric space, Applied Mathematics, Geometry and Topology, fixed point, Fixed-point and coincidence theorems (topological aspects), \(\alpha\)-Geraghty contraction type map, metric space, Special maps on metric spaces, Nonlocal and multipoint boundary value problems for ordinary differential equations, contraction type mapping
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
Q2
OpenCitations Citation Count
33
Source
Fixed Point Theory and Applications
Volume
2013
Issue
Start Page
End Page
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Citations
CrossRef : 10
Scopus : 71
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Mendeley Readers : 3
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