Contractive-Like Mapping Principles in Ordered Metric Spaces and Application to Ordinary Differential Equations

Fixexd point theory and applications

J Caballero¹  K Sadarangani¹  J Harjani² 

[1] Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

关键词: Ordinary Differential Equation;    Partial Order;    Point Theorem;    Lower Solution;    Nondecreasing Mapping;   

DOI  :  10.1155/2010/916064

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to present a fixed point theorem for generalized contractions in partially ordered complete metric spaces. We also present an application to first-order ordinary differential equations.

【 授权许可】

CC BY