Pentagonal Cone b-metric Spaces over Banach Algebras and Fixed Point Theorem of Generalized Lipschitz Mapping

被引：1
|
作者：
Auwalu, Abba [1 ]
机构：
[1] Near East Univ, Dept Math, Via Mersin 10, Nicosia, Turkey
来源：
THIRD INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES (CMES2018) | 2018年 / 22卷
关键词：
D O I：
10.1051/itmconf/20182201003
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space. Our result unify, complement and/or generalized some recent results in the papers [1-7], and many others. We provide some examples to elucidate the validity and superiority of our results.
引用
下载
收藏
页数：6
相关论文
共 50 条
  • [1] Some fixed point results of generalized Lipschitz mappings on cone b-metric spaces over Banach algebras
    Huang, Huaping
    Radenovic, Stojan
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (03) : 566 - 583
  • [2] Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications
    Huang, Huaping
    Radenovic, Stojan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (05): : 787 - 799
  • [3] Tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras
    Jiang, Binghua
    Cai, Zelin
    Chen, Jinyang
    Huang, Huaping
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 465 - 482
  • [4] 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
  • [5] Contraction mapping in hexagonal cone b-metric spaces over Banach algebras and related fixed point theorems
    Kalpana, G.
    Tasneem, Z. Sumaiya
    JOURNAL OF ANALYSIS, 2019, 27 (01): : 121 - 136
  • [6] FIXED AND PERIODIC POINT RESULTS IN CONE b-METRIC SPACES OVER BANACH ALGEBRAS; A SURVEY
    Firozjah, Ataollah Arabnia
    Rahimi, Hamidreza
    Rad, Ghasem Soleimani
    FIXED POINT THEORY, 2021, 22 (01): : 157 - 168
  • [7] Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
    Liu, Hao
    Xu, Shaoyuan
    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
    Fixed Point Theory and Applications, 2013
  • [9] Fixed Point Results under Generalized c-Distance in Cone b-Metric Spaces Over Banach Algebras
    Firozjah, Ataollah Arabnia
    Rahimi, Hamidreza
    De la Sen, Manuel
    Rad, Ghasem Soleimani
    AXIOMS, 2020, 9 (01)
  • [10] Common fixed point theorems for generalized ordered contractive mappings on cone b-metric spaces over Banach algebras
    Bai, Chuanzhi
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (11): : 5766 - 5771
12345