Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces

Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces

We study the existence and uniqueness of a fixed point of the multidimensional operators which satisfy Meir-Keeler type contraction condition. Our results extend, improve, and generalize the results mentioned above and the recent results on these topics in the literature.

Bibliographic Details
Main Authors: Erdal Karapınar, Antonio Roldán, Juan Martínez-Moreno, Concepcion Roldán
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/406026
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spelling doaj-acadfa92c3ac4691bf66cb9e446d218a2020-11-24T22:37:18ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/406026406026Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric SpacesErdal Karapınar0Antonio Roldán1Juan Martínez-Moreno2Concepcion Roldán3Department of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyUniversity of Jaén, Campus las Lagunillas s/n, 23071 Jaén, SpainUniversity of Jaén, Campus las Lagunillas s/n, 23071 Jaén, SpainUniversity of Jaén, Campus las Lagunillas s/n, 23071 Jaén, SpainWe study the existence and uniqueness of a fixed point of the multidimensional operators which satisfy Meir-Keeler type contraction condition. Our results extend, improve, and generalize the results mentioned above and the recent results on these topics in the literature.http://dx.doi.org/10.1155/2013/406026
collection DOAJ
language English
format Article
sources DOAJ
author Erdal Karapınar
Antonio Roldán
Juan Martínez-Moreno
Concepcion Roldán
spellingShingle Erdal Karapınar
Antonio Roldán
Juan Martínez-Moreno
Concepcion Roldán
Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces
Abstract and Applied Analysis
author_facet Erdal Karapınar
Antonio Roldán
Juan Martínez-Moreno
Concepcion Roldán
author_sort Erdal Karapınar
title Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces
title_short Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces
title_full Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces
title_fullStr Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces
title_full_unstemmed Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces
title_sort meir-keeler type multidimensional fixed point theorems in partially ordered metric spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We study the existence and uniqueness of a fixed point of the multidimensional operators which satisfy Meir-Keeler type contraction condition. Our results extend, improve, and generalize the results mentioned above and the recent results on these topics in the literature.
url http://dx.doi.org/10.1155/2013/406026
work_keys_str_mv AT erdalkarapınar meirkeelertypemultidimensionalfixedpointtheoremsinpartiallyorderedmetricspaces
AT antonioroldan meirkeelertypemultidimensionalfixedpointtheoremsinpartiallyorderedmetricspaces
AT juanmartinezmoreno meirkeelertypemultidimensionalfixedpointtheoremsinpartiallyorderedmetricspaces
AT concepcionroldan meirkeelertypemultidimensionalfixedpointtheoremsinpartiallyorderedmetricspaces
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