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

页码：221 / 228

页数：8

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