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Browsing by Author "Gopal, Dhananjay"

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    Article
    Citation - WoS: 19
    Citation - Scopus: 29
    Common Fixed Points of Generalized Meir-Keeler Α-Contractions
    (Springer int Publ Ag, 2013) Abdeljawad, Thabet; Gopal, Dhananjay; Patel, Deepesh Kumar
    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
    Citation - WoS: 5
    Citation - Scopus: 1
    Meir-Keeler Α-Contractive Fixed and Common Fixed Point Theorems (Vol 2013, Pg 19, 2013)
    (Springer international Publishing Ag, 2013) Gopal, Dhananjay; Abdeljawad, Thabet
    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.