A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations
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.
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/856302 |
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| _version_ | 1832549489270849536 |
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| author | Xiangbing Zhou Wenquan Wu Hongjiang Ma |
| author_facet | Xiangbing Zhou Wenquan Wu Hongjiang Ma |
| author_sort | Xiangbing Zhou |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0e1c7bd769f64af6bd56c4620f5722b9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0e1c7bd769f64af6bd56c4620f5722b92025-02-03T06:11:11ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/856302856302A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential EquationsXiangbing Zhou0Wenquan Wu1Hongjiang Ma2Department of Computer Science, Aba Teachers College, Sichuan, Wenchuan 623002, ChinaDepartment of Computer Science, Aba Teachers College, Sichuan, Wenchuan 623002, ChinaDepartment of Computer Science, Aba Teachers College, Sichuan, Wenchuan 623002, ChinaWe 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.http://dx.doi.org/10.1155/2012/856302 |
| spellingShingle | Xiangbing Zhou Wenquan Wu Hongjiang Ma A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations Abstract and Applied Analysis |
| title | A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations |
| title_full | A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations |
| title_fullStr | A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations |
| title_full_unstemmed | A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations |
| title_short | A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations |
| title_sort | contraction fixed point theorem in partially ordered metric spaces and application to fractional differential equations |
| url | http://dx.doi.org/10.1155/2012/856302 |
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