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

M‎. ‎Eshaghi Gordji | Zendy; Hamid Baghani | Zendy; Gwang Hui Kim | Zendy

Open Access

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

Author(s) -

M‎. ‎Eshaghi Gordji,

Hamid Baghani,

Gwang Hui Kim

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/981517

Subject(s) - mathematics , fixed point theorem , uniqueness , contraction mapping , contraction (grammar) , metric space , ordinary differential equation , picard–lindelöf theorem , mathematical analysis , fixed point , pure mathematics , type (biology) , boundary value problem , differential equation , medicine , ecology , biology

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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