Common Fixed Points of Generalized Meir-Keeler Α-Contractions
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Date
2013
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Volume Title
Publisher
Springer int Publ Ag
Open Access Color
GOLD
Green Open Access
No
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Top 10%
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Abstract
Motivated by Abdeljawad (Fixed Point Theory Appl. 2013:19, 2013), we establish some common fixed point theorems for three and four self-mappings satisfying generalized Meir-Keeler alpha-contraction in metric spaces. As a consequence, the results of Rao and Rao (Indian J. Pure Appl. Math. 16(1):1249-1262, 1985), Jungck (Int. J. Math. Math. Sci. 9(4):771-779, 1986), and Abdeljawad itself are generalized, extended and improved. Sufficient examples are given to support our main results.
Description
Patel, Deepesh Kumar/0000-0002-5167-932X; Gopal, Dhananjay/0000-0001-8217-2778; Abdeljawad, Thabet/0000-0002-8889-3768
Keywords
Common Fixed Points, Meir-Keeler Contraction, Generalized Meir-Keeler Alpha-Contraction, Alpha-Admissible, Reciprocally Continuous, Absorbing Maps, Metric (unit), Fixed Point Theorems, Economics, Applied Mathematics, Pure mathematics, Fixed point, Discrete mathematics, Generalized Contractions, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Operations management, Contractive Mappings, Physical Sciences, FOS: Mathematics, Contraction (grammar), Medicine, Differential geometry, Geometry and Topology, Metric space, Fixed-point theorem, Internal medicine, Mathematics, reciprocally continuous, common fixed points, \(\alpha\)-admissible, Meir-Keeler contraction, Special maps on metric spaces, Fixed-point and coincidence theorems (topological aspects), absorbing maps, generalized Meir-Keeler \(\alpha\)-contraction
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Patel, D.K., Abdeljawad, T., Gopal, D. (2013). Common fixed points of generalized Meir-Keeler alpha-contractions. Fixed Point Theory And Applications. http://dx.doi.org/10.1186/1687-1812-2013-260
WoS Q
Scopus Q
Q2
OpenCitations Citation Count
17
Source
Fixed Point Theory and Applications
Volume
2013
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Scopus : 28
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