A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential Equations

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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Veröffentlicht in:Discrete Dynamics in Nature and Society 2012-01, Vol.2012 (2012), p.631-638-247
Hauptverfasser: Gordji, Madjid Eshaghi, Baghani, H., Kim, Gwang Hui
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2012/981517