SOME RESULTS ON UNIFORMLY LIPSCHITZIAN MAPPINGS IN METRIC SPACES AND APPLICATIONS

被引：0

作者：

Aghajani, Asadollah ^{[1
]}

Tehrani, Alireza Mosleh ^{[1
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran, Iran

来源：

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2015年 / 6卷 / 02期

关键词：

fixed-point theorems; uniformly Lipschitzian mappings; nonexpansive mappings; Fredholm integral equations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we obtain a useful property of uniformly Lipschitzian mappings, then we give some suitable conditions under which uniformly Lipschitzian mappings have a fixed point without limiting conditions on the Lipschitz constant L in metric spaces. As an application of our main results we investigate the solvability of Fredholm integral equations of second kind. Some illustrative examples are included to show the usefulness and applicability of results.

引用

页码：194 / 201

页数：8

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