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
  • [1] Fixed point theorems for operator in cone Banach spaces
    Mutlu, Ali
    Yolcu, Nermin
    FIXED POINT THEORY AND APPLICATIONS, 2013, : 1 - 6
  • [2] Fixed Point Theorems in Cone Banach Spaces
    Karapinar, Erdal
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [3] COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES
    Abdeljawad, Thabet
    Karapinar, Erdal
    Tas, Kenan
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (02): : 211 - 217
  • [4] Fixed point theorems for Φp operator in cone Banach spaces
    Ali Mutlu
    Nermin Yolcu
    Fixed Point Theory and Applications, 2013
  • [5] Common fixed point theorems in cone Banach type spaces
    Moradlou, Fridoun
    Salimi, Peyman
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (03): : 597 - 606
  • [6] Fixed Point Theorems for Pseudo-Banach Contraction
    Makaje, Nifatamah
    Sama-Ae, Areeyuth
    Phon-On, Aniruth
    THAI JOURNAL OF MATHEMATICS, 2021, 19 (04): : 1385 - 1397
  • [7] 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)
  • [8] 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
  • [9] 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
  • [10] 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