Common fixed point theorems for fuzzy mappings in G-metric spaces

被引：5
作者：
Zhu, Li [1 ,2 ]
Zhu, Chuan-Xi [1 ]
Chen, Chun-Fang [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
[2] Jiangxi Agr Univ, Dept Math, Nanchang 330045, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
基金：
中国国家自然科学基金;
关键词：
fuzzy set; D-G; D-infinity-convergent; D-infinity-Cauchy; fuzzy self-mapping; fixed point; PHI-CONTRACTION CONDITION; MAPS; UNIQUENESS; EXISTENCE;
D O I：
10.1186/1687-1812-2012-159
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the concept of Hausdorff G-metric in the space of fuzzy sets induced by the metric and obtain some results on Hausdorff G-metric. We also prove common fixed point theorems for a family of fuzzy self-mappings in the space of fuzzy sets on a complete G-metric space. MSC: 47H10, 54H25.
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页数：16
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