Multivalued Caristi'S Type Mappings in Fuzzy Metric Spaces and a Characterization of Fuzzy Metric Completeness

被引：7
作者：
Abbas, Mujahid [1 ]
Ali, Basit [1 ]
Romaguera, Salvador [2 ]
机构：
[1] Lahore Univ Management Sci, Dept Math, Lahore 54792, Pakistan
[2] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplica, E-46022 Valencia, Spain
来源：
FILOMAT | 2015年 / 29卷 / 06期
关键词：
Multivalued mapping; Caristi's type mapping; fuzzy metric space; complete; FIXED-POINT THEOREMS; VALUED CONTRACTION MAPPINGS; MAPS;
D O I：
10.2298/FIL1506217A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we show a fixed point theorem for multivalued Caristi's type mappings on a large class of complete fuzzy metric spaces. In fact, this result allows us to characterize complete fuzzy metric spaces with continuous t-norm greater than or equal to the Lukasiewicz t-norm.
引用
收藏
页码：1217 / 1222
页数：6
相关论文
共 37 条
[1]   Some generalizations of Caristi type fixed point theorem on partial metric spaces [J].
Acar, Ozlem ;
Altun, Ishak .
FILOMAT, 2012, 26 (04) :833-837
[2]   Fixed point theory for generalized contractive maps of Meir-Keeler type [J].
Agarwal, RP ;
O'Regan, D ;
Shahzad, N .
MATHEMATISCHE NACHRICHTEN, 2004, 276 :3-22
[3]  
[Anonymous], KYBERNETICA
[4]  
Ansari QH., 2010, Metric spaces: including fixed point theory and set-valued maps
[5]   FIXED-POINTS AND STATIONARY-POINTS OF DISSIPATIVE MULTIVALUED MAPS [J].
AUBIN, JP ;
SIEGEL, J .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 78 (03) :391-398
[6]  
Branciari A., 2002, Int J Math Math Sci, V29, P531
[7]   FIXED-POINT THEOREMS FOR MAPPINGS SATISFYING INWARDNESS CONDITIONS [J].
CARISTI, J .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 215 (JAN) :241-251
[8]  
Cho Y.J., 2006, NONSYMMETRIC TOPOLOG
[9]   MULTI-VALUED CONTRACTION MAPPINGS IN GENERALIZED METRIC SPACES [J].
COVITZ, H ;
NADLER, SB .
ISRAEL JOURNAL OF MATHEMATICS, 1970, 8 (01) :5-&
[10]   ON FIXED-POINT THEOREMS IN FUZZY METRIC-SPACES [J].
FANG, JX .
FUZZY SETS AND SYSTEMS, 1992, 46 (01) :107-113
1234