Fixed point theorems in metric spaces |
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| Authors: | Petko D Proinov |
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| Institution: | Faculty of Mathematics and Informatics, University of Plovdiv, Plovdiv 4000, Bulgaria |
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| Abstract: | In this paper, we establish two general theorems for equivalence between the Meir–Keeler type contractive conditions and the contractive definitions involving gauge functions. One of these theorems is an extension of a recent result of Lim (On characterization of Meir–Keeler contractive maps, Nonlinear Anal. 46 (2001) 113–120). |
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| Keywords: | Fixed point theorems Meir&ndash Keeler conditions Gauge functions Equivalent conditions |
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