Fixed point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces

被引:11
|
作者
Zhu, Jiang [1 ]
Wang, Yunjie [2 ]
Zhu, Cheng-Cheng [3 ]
机构
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
[2] Jiangsu Normal Univ, Kewen Inst, Xuzhou 221116, Peoples R China
[3] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China
基金
中国国家自然科学基金;
关键词
coupled fixed point; coupled coincidence; intuitionistic fuzzy normed space; partially ordered set; mixed monotone mapping; MONOTONE-GENERALIZED CONTRACTIONS; NONLINEAR CONTRACTIONS; MAPPINGS;
D O I
10.1186/1687-1812-2013-79
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove that some coupled fixed point theorems and coupled coincidence point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces can be directly deduced from fixed point theorems for contractions in fuzzy normed spaces. We also prove that these results are equivalent. MSC: 47H10, 54A40, 54E50, 54H25.
引用
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页码:1 / 10
页数:10
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