Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices

This paper presents some existence and uniqueness theorems of the fixed point for ordered contractive mapping in Banach lattices. Moreover, we prove the existence of a unique solution for first-order ordinary differential equations with initial value conditions by using the theoretical results with...

Full description

Bibliographic Details
Main Authors: Xingchang Li, Zhihao Wang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/191675