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Browsing by Author "Gopal, Dhananjay"

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    Article
    Common fixed points of generalized Meir-Keeler alpha-contractions
    (Springer int Publ Ag, 2013) Patel, Deepesh Kumar; Abdeljawad, Thabet; Abdeljawad, Thabet; Gopal, Dhananjay
    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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    Correction
    Erratum to 'Meir-Keeler α-contractive fixed and common fixed point theorems' (Fixed Point Theory and Applications (2013) 19 (2013))
    (Springer international Publishing Ag, 2013) Abdeljawad, Thabet; Abdeljawad, Thabet; Gopal, Dhananjay
    In this note we correct some errors that appeared in the article (Abdeljawad in Fixed Point Theory Appl. 2013:19, 2013) by modifying some conditions in the main theorems and by giving an example to support. MSC: 47H10, 54H25.