Fixed Points of Discontinuous Multivalued Operators in Ordered Spaces with Applications

被引：2
作者：
Hong, Shihuang [1 ]
Qiu, Zheyong [1 ]
机构：
[1] Hangzhou Dianzi Univ, Dept Math, Hangzhou 310018, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2010年
关键词：
BANACH-SPACES; THEOREMS; EXISTENCE; MAPPINGS;
D O I：
10.1155/2010/745769
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Existence theorems of fixed points for multivalued increasing operators in partially ordered spaces are presented. Here neither the continuity nor compactness is assumed for multivalued operators. As an application, we lead to the existence principles for integral inclusions of Hammerstein type multivalued maps.
引用
收藏
页数：13
相关论文
共 50 条
  • [41] Common fixed points of multivalued F-contractions on metric spaces with a directed graph
    Abbas, Mujahid
    Alfuraidan, Monther R.
    Nazir, Talat
    CARPATHIAN JOURNAL OF MATHEMATICS, 2016, 32 (01) : 1 - 12
  • [42] Positive Fixed Point of Strict Set Contraction Operators on Ordered Banach Spaces and Applications
    Feng, Meiqiang
    Zhang, Xuemei
    Ge, Weigao
    ABSTRACT AND APPLIED ANALYSIS, 2010,
  • [43] FIXED POINTS OF DISCONTINUOUS MAPPINGS IN UNIFORMLY CONVEX METRIC SPACES
    Shukri, Sami Atif
    Berinde, Vasile
    Khan, Abdul Rahim
    FIXED POINT THEORY, 2018, 19 (01): : 397 - 406
  • [44] BEST PROXIMITY POINTS FOR GENERALIZED MULTIVALUED CONTRACTIONS IN METRIC SPACES
    Nazari, Esmaeil
    MISKOLC MATHEMATICAL NOTES, 2015, 16 (02) : 1055 - 1062
  • [45] Some new types multivalued F-contractions on quasi metric spaces and their fixed points
    Hancer, Hatice Aslan
    Olgun, Murat
    Altun, Ishak
    CARPATHIAN JOURNAL OF MATHEMATICS, 2019, 35 (01) : 41 - 50
  • [46] Fixed Points of Multivalued Nonself Almost Contractions
    Alghamdi, Maryam A.
    Berinde, Vasile
    Shahzad, Naseer
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [47] Common Fixed Points of (α - ψ)- Generalized Rational Multivalued Contractions in Dislocated Quasi b-Metric Spaces and Applications
    Abbas, Mujahid
    Rakocevic, Vladimir
    Leyew, Bahru Tsegaye
    FILOMAT, 2017, 31 (11) : 3263 - 3284
  • [48] An abstract point of view on iterative approximation schemes of fixed points for multivalued operators
    Petrusel, Adrian
    Rus, Ioan A.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2013, 6 (02): : 97 - 107
  • [49] Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces
    Khan, Safeer Hussain
    Abbas, Mujahid
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [50] Iterative algorithm for approximating fixed points of multivalued quasinonexpansive mappings in Banach spaces
    Minjibir, Ma'aruf Shehu
    Izuazu, Chimezie
    FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2022, 2022 (01):
12345