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

被引：8
|
作者：
Cho, Seong-Hoon [1 ]
Bae, Jong-Sook [2 ]
Na, Kwang-Soo [2 ]
机构：
[1] Hanseo Univ, Dept Math, Seosan 356706, Chungnam, South Korea
[2] Moyngji Univ, Dept Math, Yongin 449728, South Korea
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
基金：
新加坡国家研究基金会;
关键词：
fixed point; multivalued map; cone metric space; SET-VALUED CONTRACTIONS; NONLINEAR CONTRACTIONS; EQUIVALENCE; PAPER; MAPS;
D O I：
10.1186/1687-1812-2012-133
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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. MSC: 47H10, 54H25.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces
    Seong-Hoon Cho
    Jong-Sook Bae
    Kwang-Soo Na
    [J]. 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
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [3] Fixed point theorems for multivalued mappings in G-cone metric spaces
    Azam, Akbar
    Mehmood, Nayyar
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [4] Fixed point theorems for multivalued mappings in G-cone metric spaces
    Akbar Azam
    Nayyar Mehmood
    [J]. 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
    [J]. 2016 UKM FST POSTGRADUATE COLLOQUIUM, 2016, 1784
  • [6] FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS ON BIPOLAR METRIC SPACES
    Mutlu, Ali
    Ozkan, Kubra
    Gurdal, Utku
    [J]. FIXED POINT THEORY, 2020, 21 (01): : 271 - 279
  • [7] Some fixed point theorems for multivalued mappings in metric spaces
    Narongsuk Boonsri
    Satit Saejung
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017, 111 : 489 - 497
  • [8] Fixed point theorems for multivalued mappings in probabilistic metric spaces
    Hadzic, O
    [J]. FUZZY SETS AND SYSTEMS, 1997, 88 (02) : 219 - 226
  • [9] Some fixed point theorems for multivalued mappings in metric spaces
    Boonsri, Narongsuk
    Saejung, Satit
    [J]. 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
    [J]. ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2016, 20 (01): : 35 - 43
12345