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Browsing by Author "Patel, Deepesh Kumar"

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    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.