A note on fixed-points theorems for T-monotone operators

被引：0
|
作者：
Cabada, A [1 ]
Cid, JA [1 ]
机构：
[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Galicia, Spain
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 6-7期
关键词：
T-monotone operators; fixed-point theorems; lower and upper solutions; monotone iterative techniques;
D O I：
10.1016/S0898-1221(04)90069-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper contains two contributions of the theory of T-monotone operators introduced by Chen. First, we prove a new fixed-point theorem for a discontinuous T-monotone mapping. After, we use this theory to obtain the solution of a classical continuous problem, for which the usual iterative methods fail. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：853 / 857
页数：5
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