Some new extensions of Edelstein-Suzuki-type fixed point theorem to G-metric and G-cone metric spaces |
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| Authors: | Fridoun MORADLOU Peyman SALIMI Pasquale VETRO |
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| Institution: | 1. Department of Mathematics, Sahand University of Technology, Tabriz, Iran;2. Universitá degli Studi di Palermo, Dipartimento di Matematica e Informatica, Via Archirafi, 34 90123 Palermo, Italy |
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| Abstract: | In this paper, we prove some fixed point theorems for generalized contractions in the setting of G-metric spaces. Our results extend a result of Edelstein M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962), 74–79] and a result of Suzuki T. Suzuki, A new type of fixed point theorem in metric spaces, Nonlinear Anal., 71 (2009), 5313–5317]. We prove, also, a fixed point theorem in the setting of G-cone metric spaces. |
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| Keywords: | G-metric spaces G-cone metric spaces fixed point Edelstein's theorem Suzuki's theorem |
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