Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces

被引:151
作者
Sintunavarat, Wutiphol [1 ]
Kumam, Poom [1 ]
机构
[1] King Mongkuts Univ Technol Thonburi, Dept Math, Fac Sci, Bangkok 10140, Thailand
关键词
D O I
10.1155/2011/637958
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove some common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces both in the sense of Kramosil and Michalek and in the sense of George and Veeramani by using the new property and give some examples. Our results improve and generalize the main results of Mihet in 9Mihet, 2010) and many fixed point theorems in fuzzy metric spaces.
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页数:14
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共 34 条
[1]   Some new common fixed point theorems under strict contractive conditions [J].
Aamri, M ;
El Moutawakil, D .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (01) :181-188
[2]  
[Anonymous], 2011, Probabilistic Metric Spaces
[3]   Semicompatibility and Fixed Point Theorems for Reciprocally Continuous Maps in a Fuzzy Metric Space [J].
Badshah, V. H. ;
Joshi, Varsha .
JOURNAL OF APPLIED MATHEMATICS, 2011,
[4]   FUZZY MAPPINGS AND FIXED-POINT THEOREMS [J].
BOSE, RK ;
SAHANI, D .
FUZZY SETS AND SYSTEMS, 1987, 21 (01) :53-58
[5]   FIXED-POINTS FOR FUZZY MAPPINGS [J].
BUTNARIU, D .
FUZZY SETS AND SYSTEMS, 1982, 7 (02) :191-207
[6]   Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces [J].
Cho, Yeol Je ;
Sedghi, Shaban ;
Shobe, Nabi .
CHAOS SOLITONS & FRACTALS, 2009, 39 (05) :2233-2244
[7]   Fixed point and (DS)-weak commutativity condition in intuitionistic fuzzy metric spaces [J].
Deshpande, Bhavana .
CHAOS SOLITONS & FRACTALS, 2009, 42 (05) :2722-2728
[8]   ON SOME RESULTS IN FUZZY METRIC-SPACES [J].
GEORGE, A ;
VEERAMANI, P .
FUZZY SETS AND SYSTEMS, 1994, 64 (03) :395-399
[9]   On some results of analysis for fuzzy metric spaces [J].
George, A ;
Veeramani, P .
FUZZY SETS AND SYSTEMS, 1997, 90 (03) :365-368
[10]  
GOLSHAN HM, 2011, J NONLINEAR ANAL OPT, V2, P75