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Common fixed points of generalized Meir-Keeler alpha-contractions
Journal article   Open access  Peer reviewed

Common fixed points of generalized Meir-Keeler alpha-contractions

Deepesh Kumar Patel, Thabet Abdeljawad and Dhananjay Gopal
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2013(1), p.260
07/11/2013
DOI: https://doi.org/10.1186/1687-1812-2013-260

Abstract

absorbing maps MAPS THEOREMS generalized Meir-Keeler alpha-contraction MAPPINGS common fixed points Meir-Keeler contraction reciprocally continuous alpha-admissible
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.
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https://doi.org/10.1186/1687-1812-2013-260View
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