Compactness result and its applications in integral equations

被引：4

作者：

Krukowski, Mateusz ^{[1
]}

Przeradzki, Bogdan ^{[1
]}

机构：

[1] Lodz Univ Technol, Inst Math, Wolczanska 215, PL-90924 Lodz, Poland

来源：

JOURNAL OF APPLIED ANALYSIS | 2016年 / 22卷 / 02期

关键词：

Arzela-Ascoli theorem; compact operators; Fredholm; Hammerstein; Urysohn;

D O I：

10.1515/jaa-2016-0016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A version of the Arzela-Ascoli theorem for X being a sigma-locally compact Hausdorff space is proved. The result is used in proving compactness of Fredholm, Hammerstein and Urysohn operators. Two fixed point theorems, for Hammerstein and Urysohn operators, are derived on the basis of Schauder fixed point theorem.

引用

页码：153 / 161

页数：9

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