Fuzzy fixed point theorems for multivalued fuzzy contractions in b-metric spaces

被引:0
作者
Phiangsungnoen, Supak [1 ,2 ]
Kumam, Poom [1 ,2 ]
机构
[1] King Mongkuts Univ Technol Thonburi, Fac Sci, Dept Math, Bangkok 10140, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10140, Thailand
来源
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 01期
关键词
b-metric spaces; fuzzy fixed point; fuzzy mappings; fuzzy set; MAPPINGS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce the new concept of multivalued fuzzy contraction mappings in b-metric spaces and establish the existence of a-fuzzy fixed point theorems in b-metric spaces which can be utilized to derive Nadler's fixed point theorem in the framework of b-metric spaces. Moreover, we provide examples to support our main result. (C)2015 All rights reserved.
引用
收藏
页码:55 / 63
页数:9
相关论文
共 31 条
[1]   Fuzzy common fixed point theorems for generalized contractive mappings [J].
Abbas, M. ;
Damjanovic, Bosko ;
Lazovic, Rade .
APPLIED MATHEMATICS LETTERS, 2010, 23 (11) :1326-1330
[2]  
Ahmad J., 2014, J INEQUALITIES APPL, V2014
[3]  
Aydi H., 2012, FIXED POINT THEORY A, V2012
[4]  
Aydi H, 2012, FIXED POINT THEOR-RO, V13, P337
[5]   Fixed points of fuzzy contractive and fuzzy locally contractive maps [J].
Azam, Akbar ;
Arshad, Muhammad ;
Beg, Ismat .
CHAOS SOLITONS & FRACTALS, 2009, 42 (05) :2836-2841
[6]   Common fixed points of fuzzy maps [J].
Azam, Akbar ;
Beg, Ismat .
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (7-8) :1331-1336
[7]  
Bakhtin I. A., 1989, FUNCTIONAL ANAL, V30, P26
[8]  
Berinde V, 1993, SEM FIX POINT THOER, V3, P3
[9]  
Boriceanu M., 2010, Int. J. Math. Stat., V6, P65
[10]  
Boriceanu M, 2009, INT J MOD MATH, V4, P285