The concept of cone b-Banach space and fixed point theorems

被引：1
|
作者：
Yang, Chen [1 ]
Zhu, Xiaolin [2 ]
机构：
[1] Shanxi Vocat Univ Engn Sci & Technol, Taiyuan 030619, Shanxi, Peoples R China
[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
OPEN MATHEMATICS | 2021年 / 19卷 / 01期
关键词：
fixed point; uniqueness; cone b-norm; cone b-Banach space; METRIC-SPACES; CONTRACTIVE MAPPINGS; POSITIVE SOLUTIONS; COINCIDENCE POINT; EQUATIONS; SETS;
D O I：
10.1515/math-2021-0068
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, the concepts of cone b-norm and cone b-Banach space are given. Some new fixed point theorems in cone b-Banach spaces are established. The new results improve some fixed point theorems in cone Banach spaces. Furthermore, we also investigate the uniqueness of fixed points.
引用
收藏
页码：1187 / 1196
页数：10
相关论文
共 50 条
  • [41] Contraction mapping in hexagonal cone b-metric spaces over Banach algebras and related fixed point theorems
    G. Kalpana
    Z. Sumaiya Tasneem
    The Journal of Analysis, 2019, 27 : 121 - 136
  • [42] Multivalued fixed point theorems in cone b-metric spaces
    Akbar Azam
    Nayyar Mehmood
    Jamshaid Ahmad
    Stojan Radenović
    Journal of Inequalities and Applications, 2013
  • [43] SOME FIXED POINT THEOREMS IN BANACH SPACES
    GOEBEL, K
    ZLOTKIEWICZ, E
    COLLOQUIUM MATHEMATICUM, 1971, 23 (01) : 103 - +
  • [44] Multivalued fixed point theorems in cone b-metric spaces
    Azam, Akbar
    Mehmood, Nayyar
    Ahmad, Jamshaid
    Radenovic, Stojan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [45] Common Fixed Point Theorems for Four Mappings on Cone Metric Type Space
    AleksandarS Cvetković
    MarijaP Stanić
    Sladjana Dimitrijević
    Suzana Simić
    Fixed Point Theory and Applications, 2011
  • [46] Cone Ab-metric space and some coupled fixed point theorems
    Singh, K. Anthony
    Singh, M. R.
    Devi, M. Bina
    Singh, Th Chhatrajit
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 24 (03): : 246 - 255
  • [47] Some fixed point theorems on cone 2-metric spaces over Banach algebras
    Guangrong Wu
    L. Yang
    Journal of Fixed Point Theory and Applications, 2018, 20
  • [48] Common Fixed Point Theorems for Four Mappings on Cone Metric Type Space
    Cvetkovic, Aleksandar S.
    Stanic, Marija P.
    Dimitrijevic, Sladjana
    Simic, Suzana
    FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [49] Fixed point theorems of ordered contractive mappings on cone metric spaces over Banach algebras
    Jiandong Yin
    Tao Wang
    Qi Yan
    Fixed Point Theory and Applications, 2015
  • [50] Some fixed point theorems on cone 2-metric spaces over Banach algebras
    Wu, Guangrong
    Yang, L.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)
12345