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2012 Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices
Xingchang Li, Zhihao Wang
Abstr. Appl. Anal. 2012: 1-9 (2012). DOI: 10.1155/2012/191675

Abstract

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 no need for using the condition of a lower solution or an upper solution.

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Xingchang Li. Zhihao Wang. "Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices." Abstr. Appl. Anal. 2012 1 - 9, 2012. https://doi.org/10.1155/2012/191675

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1256.47035
MathSciNet: MR2999918
Digital Object Identifier: 10.1155/2012/191675

Rights: Copyright © 2012 Hindawi

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