Common fixed point theorems in L-fuzzy metric spaces

被引:34
作者
Adibi, H.
Cho, Y. J.
O'Regan, D.
Saadati, R.
机构
[1] Inst Studies Appl Math, Amol 4617654553, Iran
[2] Islamic Azad Univ, Ayatollah Amoli Branch, Amol, Iran
[3] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland
[4] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[5] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[6] Amir Kabir Univ Technol, Dept Math & Comp Sci, Tehran 15914, Iran
关键词
L-Fuzzy contractive mapping; complete L-fuzzy metric space; fixed point theorem;
D O I
10.1016/j.amc.2006.04.045
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, at first we prove a common fixed point theorem in L-fuzzy metric space. Secondly, to introduce the concept of compatible mappings of type (P) in L-fuzzy metric space, which is equivalent to the concept of compatible and compatible mappings of type (A) under some appropriate conditions. In the sequel, we derive some relations between these mappings. Then, we prove a coincidence point theorem and a fixed point theorem for compatible mappings of type (P) in L-fuzzy metric space, for four mappings. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:820 / 828
页数:9
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