Existence and Uniqueness Theorems of Ordered Contractive Map in Banach Lattices

Xingchang Li and Zhihao Wang

Abstract and Applied Analysis, 2012, vol. 2012, 1-9

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:191675

DOI: 10.1155/2012/191675

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