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

Xiangbing Zhou | Zendy; Wenquan Wu | Zendy; Hongjiang Ma | Zendy

Open Access

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

Author(s) -

Xiangbing Zhou,

Wenquan Wu,

Hongjiang Ma

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/856302

Subject(s) - mathematics , fixed point theorem , uniqueness , picard–lindelöf theorem , fixed point , metric space , contraction (grammar) , contraction mapping , mathematical analysis , schauder fixed point theorem , boundary value problem , pure mathematics , brouwer fixed point theorem , medicine

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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