Some Fixed Point Theorems of Integral Type Contraction in Cone Metric Spaces

被引:15
作者
Khojasteh, Farshid [1 ]
Goodarzi, Zahra [2 ]
Razani, Abdolrahman [2 ,3 ]
机构
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran 14778, Iran
[2] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin 3414916818, Iran
[3] Inst Res Fundamental Sci, Sch Math, Tehran, Iran
关键词
Natural Number; Fixed Point Theorem; Contractive Condition; Normal Constant; Normal Cone;
D O I
10.1155/2010/189684
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We define a new concept of integral with respect to a cone. Moreover, certain fixed point theorems in those spaces are proved. Finally, an extension of Meir-Keeler fixed point in cone metric space is proved. Copyright (C) 2010 Farshid Khojasteh et al.
引用
收藏
页数:13
相关论文
共 8 条
[1]   Common fixed point results for noncommuting mappings without continuity in cone metric spaces [J].
Abbas, A. ;
Jungck, G. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) :416-420
[2]  
Branciari A., 2002, Int J Math Math Sci, V29, P531, DOI [10.1155/S0161171202007524, DOI 10.1155/S0161171202007524]
[3]   Fixed points of multifunctions on regular cone metric spaces [J].
Haghi, R. H. ;
Rezapour, Sh. .
EXPOSITIONES MATHEMATICAE, 2010, 28 (01) :71-77
[4]   Cone metric spaces and fixed point theorems of contractive mappings [J].
Huang Long-Guang ;
Zhang Xian .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) :1468-1476
[5]   Common fixed points for maps on cone metric space [J].
Ilic, Dejan ;
Rakocevic, Vladimir .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (02) :876-882
[6]   A THEOREM ON CONTRACTION MAPPINGS [J].
MEIR, A ;
KEELER, E .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1969, 28 (02) :326-&
[7]   Some notes on the paper "Cone metric spaces and fixed point theorems of contractive mappings" [J].
Rezapour, Sh. ;
Hamlbarani, R. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) :719-724
[8]  
Suzuki T., 2007, Int. J. Math. Math. Sci, DOI [10.1155/2007/39281, DOI 10.1155/2007/39281]