Generalized probabilistic metric spaces and fixed point theorems

被引：20

作者：

Zhou, Caili ^{[1
,2
]}

Wang, Shenghua ^{[3
]}

Ciric, Ljubomir ^{[4
]}

Alsulami, Saud M. ^{[5
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[2] Hebei Univ, Coll Math & Comp Sci, Baoding 071002, Peoples R China

[3] North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Peoples R China

[4] Univ Belgrade, Fac Mech Engn, Belgrade 11000, Serbia

[5] King Abdulaziz Univ, Dept Math, Jeddah 21323, Saudi Arabia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

Menger metric space; contraction mapping; G-metric space; fixed point theorem; CONTRACTIONS; DISTANCE; MAPPINGS;

D O I：

10.1186/1687-1812-2014-91

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new concept of probabilistic metric space, which is a generalization of the Menger probabilistic metric space, and we investigate some topological properties of this space and related examples. Also, we prove some fixed point theorems, which are the probabilistic versions of Banach's contraction principle. Finally, we present an example to illustrate the main theorems.

引用

页数：15

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