ABSTRACT AND CONCRETE GRONWALL LEMMAS

被引：0
|
作者：
Craciun, Cecilia [1 ,2 ]
Lungu, Nicolae [3 ]
机构：
[1] Colfes Sch, London SE12 8AW, England
[2] Univ Babes Bolyai, Dept Appl Math, Cluj Napoca 400084, Romania
[3] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca, Romania
来源：
FIXED POINT THEORY | 2009年 / 10卷 / 02期
关键词：
Inequalities; Gronwall inequalities; Bihari inequalities; Wendorff-type inequalities; abstract Gronwall lemma; Picard operators;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (X,d, <=) be a n ordered metric space and A : X -> X be an increasing Picard operator. It is well known that if we have x <= Ax for all x is an element of X, then x <= x*, where x* is the unique fixed point of A. In this paper we investigate which concrete Gronwall lemmas can be derived from this abstract result.
引用
收藏
页码：221 / 228
页数：8
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