Generalized contraction mapping principle and differential equations in probabilistic metric spaces

被引：27

作者：

Chang, SS

Lee, BS

Cho, YJ

Chen, YQ

Kang, SM

Jung, JS

机构：

[1] KYUNGSUNG UNIV,DEPT MATH,PUSAN 608736,SOUTH KOREA

[2] GYEONGSANG NATL UNIV,DEPT MATH,CHINJU 660701,SOUTH KOREA

[3] DONG A UNIV,DEPT MATH,PUSAN 604714,SOUTH KOREA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 08期

关键词：

generalized contraction mapping; probabilistic metric space; probabilistic normed space; probabilistic bounded set;

D O I：

10.1090/S0002-9939-96-03289-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new generalized contraction mapping principle in probabilistic metric spaces is obtained. As an application, we utilize this principle to prove the existence theorems of solutions to differential equations in probabilistic metric spaces. All the results presented in this paper are new.

引用

页码：2367 / 2376

页数：10

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