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

Xiangbing Zhou; Wenquan Wu; Hongjiang Ma

doi:10.1155/2012/856302

Abstract and Applied Analysis (Jan 2012)

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

Xiangbing Zhou,
Wenquan Wu,
Hongjiang Ma

Affiliations

Xiangbing Zhou: Department of Computer Science, Aba Teachers College, Sichuan, Wenchuan 623002, China
Wenquan Wu: Department of Computer Science, Aba Teachers College, Sichuan, Wenchuan 623002, China
Hongjiang Ma: Department of Computer Science, Aba Teachers College, Sichuan, Wenchuan 623002, China

DOI: https://doi.org/10.1155/2012/856302
Journal volume & issue: Vol. 2012

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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