Algebra cone generalized b-metric space over Banach algebra and fixed point theorems of generalized Lipschitz mappings

被引：4
|
作者：
Ahmed, Aziz [1 ]
Salunke, J. N. [1 ]
机构：
[1] Swami Ramanandh Teerth Marathwada Univ, Sch Math Sci, Nanded, Maharashtra, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2018年 / 11卷 / 05期
关键词：
Cone metric space over Banach algebra; algebra cone; cone b-metric space; fixed point; c-sequence;
D O I：
10.1142/S1793557118500687
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the concept of algebra cone generalized b-metric space over Banach algebra by replacing the constant s >= 1 with r(s) >= 1 where r(s) is the spectral radius of s, with this modification we shall prove Banach and Kannan fixed point results for contractive generalized Lipschitz mappings in such a space. Moreover, we present one example in support of our results.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications
    Huang, Huaping
    Radenovic, Stojan
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 787 - 799
  • [2] Some fixed point results of generalized Lipschitz mappings on cone b-metric spaces over Banach algebras
    Huang, Huaping
    Radenovic, Stojan
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (03) : 566 - 583
  • [3] A Cone Generalized b-Metric Like Space over Banach Algebra and Contraction Principle
    Mitrovic, Zoran D.
    Ahmed, Aziz
    Salunke, J. N.
    [J]. THAI JOURNAL OF MATHEMATICS, 2021, 19 (02): : 583 - 592
  • [4] 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
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 9 (01): : 52 - 64
  • [5] Fixed Points of Mappings on Extended Cone b-Metric Space Over Real Banach Algebra
    Ullah, Wahid
    Samreen, Maria
    Kamran, Tayyab
    [J]. FILOMAT, 2022, 36 (03) : 853 - 868
  • [6] A Generalized Fixed Point Theorem In An Extended Cone b-Metric Space Over Banach Algebra With Its Application To Dynamical Programming
    Roy, Kushal
    Panja, Sayantan
    Saha, Mantu
    [J]. APPLIED MATHEMATICS E-NOTES, 2021, 21 : 209 - 219
  • [7] Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
    Liu, Hao
    Xu, Shaoyuan
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [8] Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
    Hao Liu
    Shaoyuan Xu
    [J]. Fixed Point Theory and Applications, 2013
  • [9] Common fixed point theorems for generalized ordered contractive mappings on cone b-metric spaces over Banach algebras
    Bai, Chuanzhi
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (11): : 5766 - 5771
  • [10] ORTHOGONAL CONE METRIC SPACES WITH BANACH ALGEBRAS AND FIXED POINT THEOREMS OF GENERALIZED LIPSCHITZ MAPPINGS
    Rashid, M. H. M.
    Noushida, P. P.
    Kumar, V. Anil
    Prasad, T.
    [J]. JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2023, 16 (02): : 285 - 307
12345