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A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations.

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Title: A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations.
Authors: Xiangbing Zhou1 studydear@gmail.com, Wenquan Wu1, Hongjiang Ma1
Source: Abstract & Applied Analysis. 2012, p1-11. 11p.
Subjects: Fixed point theory, Partially ordered spaces, Metric spaces, Fractional calculus, Numerical solutions to differential equations, Uniqueness (Mathematics)
Abstract: We generalize a fixed point theorem in partially ordered complete metric spaces in the study of A. Amini-Harandi and H. Emami (2010).We also give an application on the existence and uniqueness of the positive solution of a multipoint boundary value problem with fractional derivatives. [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.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 85039882
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PubType: Academic Journal
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  Data: A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations.
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  Data: <searchLink fieldCode="AR" term="%22Xiangbing+Zhou%22">Xiangbing Zhou</searchLink><relatesTo>1</relatesTo><i> studydear@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Wenquan+Wu%22">Wenquan Wu</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Hongjiang+Ma%22">Hongjiang Ma</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Abstract+%26+Applied+Analysis%22">Abstract & Applied Analysis</searchLink>. 2012, p1-11. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Fixed+point+theory%22">Fixed point theory</searchLink><br /><searchLink fieldCode="DE" term="%22Partially+ordered+spaces%22">Partially ordered spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Metric+spaces%22">Metric spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+solutions+to+differential+equations%22">Numerical solutions to differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Uniqueness+%28Mathematics%29%22">Uniqueness (Mathematics)</searchLink>
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  Data: We generalize a fixed point theorem in partially ordered complete metric spaces in the study of A. Amini-Harandi and H. Emami (2010).We also give an application on the existence and uniqueness of the positive solution of a multipoint boundary value problem with fractional derivatives. [ABSTRACT FROM AUTHOR]
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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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        Value: 10.1155/2012/856302
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      – Code: eng
        Text: English
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        PageCount: 11
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      – SubjectFull: Fixed point theory
        Type: general
      – SubjectFull: Partially ordered spaces
        Type: general
      – SubjectFull: Metric spaces
        Type: general
      – SubjectFull: Fractional calculus
        Type: general
      – SubjectFull: Numerical solutions to differential equations
        Type: general
      – SubjectFull: Uniqueness (Mathematics)
        Type: general
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      – TitleFull: A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations.
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            NameFull: Xiangbing Zhou
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            NameFull: Wenquan Wu
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            NameFull: Hongjiang Ma
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            – D: 01
              M: 01
              Text: 2012
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              Y: 2012
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            – TitleFull: Abstract & Applied Analysis
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