On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric Spaces

被引:15
作者
Kutbi, Marwan Amin [1 ]
Ahmad, Jamshaid [2 ]
Azam, Akbar [2 ]
机构
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan
关键词
THEOREMS; MAPS; MULTIFUNCTIONS;
D O I
10.1155/2013/313782
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We define the notion of alpha*-psi-contractive mappings for cone metric space and obtain fixed points of multivalued mappings in connection with Hausdorff distance function for closed bounded subsets of cone metric spaces. We obtain some recent results of the literature as corollaries of our main theorem. Moreover, a nontrivial example of alpha*-psi-contractive mapping satisfying all conditions of our main result has been constructed.
引用
收藏
页数:6
相关论文
共 25 条
  • [1] On (α*, ψ)-contractive multi-valued mappings
    Ali, Muhammad Usman
    Kamran, Tayyab
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [2] On Multivalued Contractions in Cone Metric Spaces without Normality
    Arshad, Muhammad
    Ahmad, Jamshaid
    [J]. SCIENTIFIC WORLD JOURNAL, 2013,
  • [3] On fixed points of α-ψ-contractive multifunctions
    Asl, J. Hasanzade
    Rezapour, S.
    Shahzad, N.
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 6
  • [4] Aydi Hassen, 2012, Journal of Applied Mathematics and Informatics, V30, P809
  • [5] Azam A., 2013, FIXED POINT THEORY A, V2013, P4
  • [6] Fixed points of a sequence of locally contractive multivalued maps
    Azam, Akbar
    Arshad, Muhammad
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (01) : 96 - 100
  • [7] Banach S., 1922, Fund. Math., V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]
  • [8] FIXED-POINTS OF ASYMPTOTICALLY REGULAR MULTIVALUED MAPPINGS
    BEG, I
    AZAM, A
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1992, 53 : 313 - 326
  • [9] Chen C.-M., 2012, J APPL MATH, V2012
  • [10] Common fixed point theorems for a weaker Meir-Keeler type function in cone metric spaces
    Chen, Chi-Ming
    Chang, Tong-Huei
    [J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (11) : 1336 - 1341