C∗-algebra-valued metric spaces and related fixed point theorems

被引：0
|
作者：
Zhenhua Ma
Lining Jiang
Hongkai Sun
机构：
[1] Beijing Institute of Technology,School of Mathematics and Statistics
[2] Hebei Institute of Architecture and Civil Engineering,Department of Mathematics and Physics
来源：
Fixed Point Theory and Applications | / 2014卷
关键词：
-algebra; -algebra-valued metric; contractive mapping; expansive mapping; fixed point theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on the concept and properties of C∗-algebras, the paper introduces a concept of C∗-algebra-valued metric spaces and gives some fixed point theorems for self-maps with contractive or expansive conditions on such spaces. As applications, existence and uniqueness results for a type of integral equation and operator equation are given.
引用
收藏
相关论文
共 50 条
  • [21] Coupled fixed point theorems on C*-algebra valued bipolar metric spaces
    Mani, Gunaseelan
    Gnanaprakasam, Arul Joseph
    Ul Haq, Absar
    Baloch, Imran Abbas
    Jarad, Fahd
    [J]. AIMS MATHEMATICS, 2022, 7 (05): : 7552 - 7568
  • [22] Fixed Point Theorems in C*-algebra Valued Fuzzy Metric Spaces with Application
    Khaofong, Chatuphol
    Khammahawong, Konrawut
    [J]. THAI JOURNAL OF MATHEMATICS, 2021, 19 (03): : 964 - 970
  • [23] RELATED FIXED POINT RESULTS VIA C*-CLASS FUNCTIONS ON C*-ALGEBRA-VALUED Gb-METRIC SPACES
    Moeini, B.
    Isik, H.
    Aydi, H.
    [J]. CARPATHIAN MATHEMATICAL PUBLICATIONS, 2020, 12 (01) : 94 - 106
  • [24] A Tripled Fixed Point Theorem in C*-Algebra-Valued Metric Spaces and Application in Integral Equations
    Parvaneh, Vahid
    Bonab, Samira Hadi
    Hosseinzadeh, Hasan
    Aydi, Hassen
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
  • [25] Completion of C*-algebra-valued Metric Spaces
    Tapanyo, Wanchai
    Ratiphaphongthon, Wachiraphong
    Arunchai, Areerat
    [J]. THAI JOURNAL OF MATHEMATICS, 2022, 20 (03): : 1119 - 1136
  • [26] EXISTENCE AND UNIQUENESS INTEGRAL EQUATIONS IN C*-ALGEBRA-VALUED Sb-METRIC SPACES BY SOME COUPLED FIXED POINT THEOREMS
    Razavi, Seyede Samira
    Masiha, Hashem Parvaneh
    [J]. PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2024, 115 (129): : 131 - 144
  • [27] On fixed point theorems in C* -algebra valued b-asymmetric metric spaces
    Bouftouh, Ouafaa
    Kabbaj, Samir
    Abdeljawad, Thabet
    Mukheimer, Aiman
    [J]. AIMS MATHEMATICS, 2022, 7 (07): : 11851 - 11861
  • [28] On the C*-algebra valued G-metric space related with fixed point theorems
    Ozer, Ozen
    Omran, Saleh
    [J]. BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2019, 95 (03): : 44 - 50
  • [29] On the (α - ψ)-Contractive Mappings in C* -Algebra Valued b-Metric Spaces and Fixed Point Theorems
    Omran, Saleh
    Masmali, Ibtisam
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
  • [30] A result on the coupled fixed point theorems in C*-algebra valued b-metric spaces
    Ozer, Ozen
    Omran, Saleh
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (42): : 722 - 730
12345