The Meir–Keeler Fixed Point Theorem for Quasi-Metric Spaces and Some Consequences
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We obtain quasi-metric versions of the famous Meir–Keeler fixed point theorem from which we deduce quasi-metric generalizations of Boyd–Wong’s fixed point theorem. In fact, one of these generalizations provides a solution for a question recently raised in the paper “On the fixed point theory in bicomplete quasi-metric spaces”, J. Nonlinear Sci. Appl. 2016, 9, 5245–5251. We also give an application to the study of existence of solution for a type of recurrence equations associated to certain nonlinear difference equations.
2005 ◽
Vol 2005
(5)
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pp. 789-801
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2013 ◽
Vol 2013
(1)
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pp. 39
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2021 ◽
Vol 10
(6)
◽
pp. 2687-2710
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