Menger-Hausdorff metric and common fixed point theorems in Menger probabilistic G-metric spaces

被引：0
|
作者：
Tu, Qiang [1 ]
Zhu, Chuanxi [1 ]
Wu, Zhaoqi [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2015年
基金：
中国国家自然科学基金;
关键词：
Menger-Hausdorff metric; Menger probabilistic G-metric space; common fixed point; common property (E.A); MAPPINGS; PAIRS;
D O I：
10.1186/s13663-015-0383-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the concepts of generalized probabilistically bounded set Omega* and Menger-Hausdorff metric (G) over tilde* in Menger probabilistic G-metric spaces, and prove that (Omega*, (G) over tilde*, Delta) is also a Menger probabilistic G-metric space. Utilizing these concepts, we establish some common fixed point theorems for three hybrid pairs of mappings satisfying the common property (E.A) in Menger probabilistic G- metric spaces. Finally, an example is given to exemplify the theorems.
引用
收藏
页码：1 / 18
页数：18
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