Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces

被引:0
|
作者
Seong-Hoon Cho
Jong-Sook Bae
Kwang-Soo Na
机构
[1] Hanseo University,Department of Mathematics
[2] Moyngji University,Department of Mathematics
关键词
fixed point; multivalued map; cone metric space;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we establish a fixed-point theorem for multivalued contractive mappings in complete cone metric spaces. We generalize Caristi’s fixed-point theorem to the case of multivalued mappings in complete cone metric spaces. We give examples to support our main results. Our results are extensions of the results obtained by Feng and Liu (J. Math. Anal. Appl. 317:103-112, 2006) to the case of cone metric spaces.
引用
收藏
相关论文
共 50 条
  • [1] Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces
    Cho, Seong-Hoon
    Bae, Jong-Sook
    Na, Kwang-Soo
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [2] On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric Spaces
    Kutbi, Marwan Amin
    Ahmad, Jamshaid
    Azam, Akbar
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [3] Fixed point theorems for multivalued mappings in G-cone metric spaces
    Azam, Akbar
    Mehmood, Nayyar
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [4] Fixed point theorems for multivalued mappings in G-cone metric spaces
    Akbar Azam
    Nayyar Mehmood
    Journal of Inequalities and Applications, 2013
  • [5] Some Fixed Point Theorems for (α, Ψ, φ)-Contractive Multivalued Mappings in b-Metric Spaces
    Alsamir, Habes
    Noorani, Mohd Salmi Md
    Shatnawi, Wasfi
    2016 UKM FST POSTGRADUATE COLLOQUIUM, 2016, 1784
  • [6] FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS ON BIPOLAR METRIC SPACES
    Mutlu, Ali
    Ozkan, Kubra
    Gurdal, Utku
    FIXED POINT THEORY, 2020, 21 (01): : 271 - 279
  • [7] Some fixed point theorems for multivalued mappings in metric spaces
    Narongsuk Boonsri
    Satit Saejung
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017, 111 : 489 - 497
  • [9] Some fixed point theorems for multivalued mappings in metric spaces
    Boonsri, Narongsuk
    Saejung, Satit
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2017, 111 (02) : 489 - 497
  • [10] Fixed points of alpha - psi multivalued contractive mappings in cone metric spaces
    Laha, Amit Kumar
    Saha, Mantu
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2016, 20 (01): : 35 - 43