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
  • [11] Fixed Point Theorems of Quasicontractions on Cone Metric Spaces with Banach Algebras
    Liu, Hao
    Xu, Shaoyuan
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [12] Algebra cone generalized b-metric space over Banach algebra and fixed point theorems of generalized Lipschitz mappings
    Ahmed, Aziz
    Salunke, J. N.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (05)
  • [13] Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra
    Andreea Fulga
    Hojjat Afshari
    Hadi Shojaat
    Advances in Difference Equations, 2021
  • [14] Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra
    Fulga, Andreea
    Afshari, Hojjat
    Shojaat, Hadi
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [15] SOME FIXED-POINT THEOREMS IN BANACH-SPACE
    CHANG, TH
    YEN, CL
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 138 (02) : 550 - 558
  • [16] Fixed point and common fixed point theorems on ordered cone metric spaces over Banach algebras
    Yan, Qi
    Yin, Jiandong
    Wang, Tao
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (04): : 1581 - 1589
  • [17] Fixed Point Problem Under a Finite Number of Equality Constraints on b-Banach spaces
    Bota, Monica-Felicia
    Karapinar, Erdal
    FILOMAT, 2019, 33 (18) : 5837 - 5849
  • [18] MULTIVALUED FIXED POINT THEOREMS IN CONE b-METRIC SPACES OVER BANACH ALGEBRA WITH APPLICATION
    Kutbi, Marwan Amin
    Ahmad, Jamshaid
    Al-Mazrooei, Abdullah Eqal
    Hussain, Nawab
    JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 9 (01): : 52 - 64
  • [19] Some Fixed Point Theorems in Partial Cone Metric Space
    Wang, Changchun
    Chen, Zhiyou
    Ran, Jie
    2019 6TH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND CONTROL ENGINEERING (ICISCE 2019), 2019, : 567 - 571
  • [20] Fixed point theorems in extended cone b-metric-like spaces over Banach algebras
    Shi, Xinjie
    Wang, Wenshuai
    Long, Pinhong
    Huang, Huaping
    Jiang, Zixian
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 548 (02)
12345