Existence and uniqueness theorems of ordered contractive map in Banach lattices
type: Item
instance of: scholarly article
title: Existence and uniqueness theorems of ordered contractive map in Banach lattices
zbMATH Open document ID: 1256.47035
DOI: 10.1155/2012/191675
author: Xingchang Li
author: Zhihao Wang
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: This paper presents some existence and uniqueness theorems of the fixed point for ordered contractive mappings 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.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H07
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 6134033
zbMATH Keywords: ordered contractive mappings
zbMATH Keywords: Banach lattices
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: fixed point
Wikidata QID: Q58695922
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/191675
OpenAlex ID: W2147836273
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description: scientific article; zbMATH DE number 6134033