On fixed point theorems of mixed monotone operators and applications

doi:10.1016/j.na.2008.04.032

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	On fixed point theorems of mixed monotone operators and applications
	Zhang, Zhitao; Wang, Kelei
	2009-05-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	70 期号:9 页码:3279-3284
摘要	In this paper, we obtain some new existence and uniqueness theorems of positive fixed point of mixed monotone operators in Banach spaces partially ordered by a cone. Finally we apply the main theorem to a nonlinear parabolic partial differential equation. Some results are new even for increasing or decreasing operators. (C) 2008 Elsevier Ltd. All rights reserved.
关键词	Fixed points Mixed monotone operators Cone Partial order
DOI	10.1016/j.na.2008.04.032
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000264691300027
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8833
专题	数学所
通讯作者	Zhang, Zhitao
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Zhitao,Wang, Kelei. On fixed point theorems of mixed monotone operators and applications[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2009,70(9):3279-3284.
APA	Zhang, Zhitao,&Wang, Kelei.(2009).On fixed point theorems of mixed monotone operators and applications.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,70(9),3279-3284.
MLA	Zhang, Zhitao,et al."On fixed point theorems of mixed monotone operators and applications".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 70.9(2009):3279-3284.