A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential Equations
We present a fixed point theorem for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of a periodic boundary value problem.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/981517 |
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| author | M. Eshaghi Gordji H. Baghani G. H. Kim |
| author_facet | M. Eshaghi Gordji H. Baghani G. H. Kim |
| author_sort | M. Eshaghi Gordji |
| collection | DOAJ |
| description | We present a fixed point theorem for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of a periodic boundary value problem. |
| format | Article |
| id | doaj-art-d9215df2ccd445f098aa526164f9b017 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d9215df2ccd445f098aa526164f9b0172025-08-20T03:24:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/981517981517A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential EquationsM. Eshaghi Gordji0H. Baghani1G. H. Kim2Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, IranDepartment of Mathematics, Kangnam University, Gyeonggi, Yongin 446-702, Republic of KoreaWe present a fixed point theorem for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of a periodic boundary value problem.http://dx.doi.org/10.1155/2012/981517 |
| spellingShingle | M. Eshaghi Gordji H. Baghani G. H. Kim A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential Equations Discrete Dynamics in Nature and Society |
| title | A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential Equations |
| title_full | A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential Equations |
| title_fullStr | A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential Equations |
| title_full_unstemmed | A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential Equations |
| title_short | A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential Equations |
| title_sort | fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations |
| url | http://dx.doi.org/10.1155/2012/981517 |
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