A Generalized Fixed Point Theorem In An Extended Cone b-Metric Space Over Banach Algebra With Its Application To Dynamical Programming

被引：0
|
作者：
Roy, Kushal [1 ]
Panja, Sayantan [1 ]
Saha, Mantu [1 ]
机构：
[1] Univ Burdwan, Dept Math, Purba Bardhaman 713104, W Bengal, India
来源：
APPLIED MATHEMATICS E-NOTES | 2021年 / 21卷
关键词：
LIPSCHITZ MAPPINGS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this manuscript, we introduce the notion of an extended cone b-metric space over Banach algebra with underlying non-normal cone. A fixed point theorem has been proved for a generalized Lipschitzian mapping on such spaces. Several corollaries have been obtained from our given fixed point theorem. Some supporting examples have been cited to examine the validity of our established result. Moreover, our fixed point result is applied to obtain solutions for some functional equations.
引用
收藏
页码：209 / 219
页数：11
相关论文
共 50 条
  • [1] Algebra cone generalized b-metric space over Banach algebra and fixed point theorems of generalized Lipschitz mappings
    Ahmed, Aziz
    Salunke, J. N.
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (05)
  • [2] 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
  • [3] 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
  • [4] 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
  • [5] Pentagonal Cone b-metric Spaces over Banach Algebras and Fixed Point Theorem of Generalized Lipschitz Mapping
    Auwalu, Abba
    [J]. THIRD INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES (CMES2018), 2018, 22
  • [6] Banach Contraction Theorem on Extended Fuzzy Cone b-metric Space
    Gupta, Vishal
    Chauhan, Surjeet Singh
    Sandhu, Ishpreet Kaur
    [J]. THAI JOURNAL OF MATHEMATICS, 2022, 20 (01): : 177 - 194
  • [7] A sharp generalization on cone b-metric space over Banach algebra
    Huang, Huaping
    Radenovic, Stojan
    Deng, Guantie
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 429 - 435
  • [8] Fixed Point Results in M-Cone Metric Space Over Banach algebra with an Application
    Fernandez, Jerolina
    Malviya, Neeraj
    Gilic, Ersin
    [J]. FILOMAT, 2022, 36 (16) : 5547 - 5562
  • [9] HYBRID TYPE FIXED POINT THEOREM ON GENERALIZED b-METRIC SPACE
    Chauhan , Surjeet Singh
    Sharma, Kanika
    [J]. ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2020, 19 (08): : 793 - 799
  • [10] GENERALIZED FIXED POINT THEOREM FOR MULTI-VALUED CONTRACTIVE MAPPING IN CONE b-METRIC SPACE
    Verma, Rupali
    Kabir, Qazi Aftab
    Chauhan, M. S.
    Shrivastava, Rajesh
    [J]. ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2020, 19 (08): : 825 - 832
12345