Common fixed points of generalized Meir-Keeler α-contractions

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 α -contraction in metric spaces. As a consequence, the results of Rao and Rao (Indian J. Pure Appl. Math. 16(1):1249-126...

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Bibliographic Details
Published inFixed point theory and applications (Hindawi Publishing Corporation) Vol. 2013; no. 1
Main Authors Patel, Deepesh Kumar, Abdeljawad, Thabet, Gopal, Dhananjay
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 07.11.2013
Subjects
Analysis
Applications of Mathematics
Differential Geometry
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Topology
admissible
generalized Meir-Keeler
absorbing maps
contraction
common fixed points
Meir-Keeler contraction
reciprocally continuous
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Summary: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 α -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. MSC: 47H10, 54H25.
ISSN:1687-1812
1687-1812
DOI:10.1186/1687-1812-2013-260