The Meir–Keeler Fixed Point Theorem for Quasi-Metric Spaces and Some Consequences
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 bico...
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Published in | Symmetry (Basel) Vol. 11; no. 6; p. 741 |
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Abstract | 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. |
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AbstractList | 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. 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. |
Author | Tirado, Pedro Romaguera, Salvador |
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CitedBy_id | crossref_primary_10_1155_2022_7197541 crossref_primary_10_3390_math8050675 crossref_primary_10_1007_s40819_021_01129_9 crossref_primary_10_3390_math8010016 crossref_primary_10_3390_math11204359 crossref_primary_10_3390_sym15040930 |
Cites_doi | 10.1006/jmaa.1995.1299 10.1016/j.na.2010.08.010 10.1186/1687-1812-2012-26 10.1090/S0002-9939-1969-0239559-9 10.1016/j.na.2007.10.014 10.22436/jnsa.006.03.02 10.1016/j.amc.2013.04.032 10.1186/1687-1812-2012-17 10.1016/j.jmaa.2008.07.026 10.22436/jnsa.009.08.10 10.1016/S1571-0661(04)00029-5 10.1155/2018/3264620 10.1016/j.topol.2015.12.074 10.1016/S0893-9659(01)00135-5 10.1186/1029-242X-2013-410 10.4995/agt.2017.7067 10.1007/BF02384479 10.1016/0022-247X(90)90318-A 10.1186/1687-1812-2012-41 10.1016/j.na.2010.02.026 10.1016/0022-247X(69)90031-6 10.1016/S0166-8641(98)00102-3 10.1186/s13663-015-0431-1 10.1186/1687-1812-2013-224 10.1016/j.jmaa.2010.11.056 |
ContentType | Journal Article |
Copyright | 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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Snippet | 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... 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... |
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SubjectTerms | Boyd–Wong Difference equations fixed point Fixed points (mathematics) Mathematical analysis Meir–Keeler Metric space quasi-metric space Theorems |
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Title | The Meir–Keeler Fixed Point Theorem for Quasi-Metric Spaces and Some Consequences |
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