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On Best Proximity Points under the P-Property on Partially Ordered Metric Spaces.

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Title: On Best Proximity Points under the P-Property on Partially Ordered Metric Spaces.
Authors: Jleli, Mohamed1, Karapinar, Erdal2 erdalkarapinar@yahoo.com, Samet, Bessem1
Source: Abstract & Applied Analysis. 2013, p1-6. 6p.
Subjects: Partially ordered spaces, Proximity spaces, Metric spaces, Fixed point theory, Mathematical models
Abstract: Very recently, Abkar and Gabeleh (2013) observed that some best proximity point results under the P-property can be obtained fromthe same results in fixed-point theory. In this paper, motivated by thismentioned work, we show that themost best proximity point results on a metric space endowed with a partial order (under the P-property) can be deduced from existing fixed-point theorems in the literature. We present various model examples to illustrate this point of view. [ABSTRACT FROM AUTHOR]
Copyright of Abstract & Applied Analysis is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: On Best Proximity Points under the P-Property on Partially Ordered Metric Spaces.
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  Data: <searchLink fieldCode="AR" term="%22Jleli%2C+Mohamed%22">Jleli, Mohamed</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Karapinar%2C+Erdal%22">Karapinar, Erdal</searchLink><relatesTo>2</relatesTo><i> erdalkarapinar@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Samet%2C+Bessem%22">Samet, Bessem</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="DE" term="%22Partially+ordered+spaces%22">Partially ordered spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Proximity+spaces%22">Proximity spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Metric+spaces%22">Metric spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Fixed+point+theory%22">Fixed point theory</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink>
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  Data: Very recently, Abkar and Gabeleh (2013) observed that some best proximity point results under the P-property can be obtained fromthe same results in fixed-point theory. In this paper, motivated by thismentioned work, we show that themost best proximity point results on a metric space endowed with a partial order (under the P-property) can be deduced from existing fixed-point theorems in the literature. We present various model examples to illustrate this point of view. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Abstract & Applied Analysis is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1155/2013/150970
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      – Code: eng
        Text: English
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        PageCount: 6
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    Subjects:
      – SubjectFull: Partially ordered spaces
        Type: general
      – SubjectFull: Proximity spaces
        Type: general
      – SubjectFull: Metric spaces
        Type: general
      – SubjectFull: Fixed point theory
        Type: general
      – SubjectFull: Mathematical models
        Type: general
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      – TitleFull: On Best Proximity Points under the P-Property on Partially Ordered Metric Spaces.
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            NameFull: Jleli, Mohamed
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            NameFull: Karapinar, Erdal
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            NameFull: Samet, Bessem
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              M: 01
              Text: 2013
              Type: published
              Y: 2013
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            – TitleFull: Abstract & Applied Analysis
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