FIXED POINTS OF CONTRACTIONS AND CYCLIC CONTRACTIONS ON C*-ALGEBRA-VALUED b-METRIC SPACES

被引:2
|
作者
Kadelburg, Zoran [1 ]
Nastasi, Antonella [2 ]
Radenovic, Stojan [3 ]
Vetro, Pasquale [2 ]
机构
[1] Univ Belgrade, Fac Math, Belgrade, Serbia
[2] Univ Palermo, Dept Math & Comp Sci, Via Archirafi 34, I-90123 Palermo, Italy
[3] Univ Belgrade, Fac Mech Engn, Belgrade, Serbia
来源
ADVANCES IN OPERATOR THEORY | 2016年 / 1卷 / 01期
关键词
C*-algebra-valued b-metric space; b-metric space; cyclic type mapping; expansive mapping;
D O I
10.22034/aot.1610.1030
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we discuss and improve some recent results about contractive and cyclic mappings established in the framework of C*-algebra valued b-metric spaces. Our proofs are much shorter than the ones in existing literature. Also, we give two examples that support our approach.
引用
收藏
页码:92 / 103
页数:12
相关论文
共 50 条
  • [1] Fixed Point Theorems for Cyclic Contractions in C*-Algebra-Valued b-Metric Spaces
    Klin-eam, Chakkrid
    Kaskasem, Prondanai
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [2] Some Results of Fixed Points on C*-Algebra-Valued b-Metric Spaces
    Sorayya, M.
    Yousefi, B.
    Jokar, A.
    JOURNAL OF MATHEMATICAL EXTENSION, 2022, 16 (01)
  • [3] ZAMFIRESCU TYPE CONTRACTIONS ON C*-ALGEBRA-VALUED METRIC SPACES
    Moeini, Bahman
    Kumar, Parveen
    Aydi, Hassen
    JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 9 (01): : 150 - 161
  • [4] FIXED POINTS FOR GENERALIZED α-ψ-CONTRACTIONS IN b-METRIC SPACES
    Ozturk, Vildan
    Turkoglu, Duran
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (10) : 2059 - 2066
  • [5] C*-Algebra-valued b-metric spaces and related fixed point theorems
    Ma, Zhenhua
    Jiang, Lining
    FIXED POINT THEORY AND APPLICATIONS, 2015, : 1 - 12
  • [6] Graphical contractions and common fixed points in b-metric spaces
    Adrian Petruşel
    Gabriela Petruşel
    Arabian Journal of Mathematics, 2023, 12 : 423 - 430
  • [7] Graphical contractions and common fixed points in b-metric spaces
    Petrusel, Adrian
    Petrusel, Gabriela
    ARABIAN JOURNAL OF MATHEMATICS, 2023, 12 (02) : 423 - 430
  • [8] α-Admissible mapping in C*-algebra-valued b-metric spaces and fixed point theorems
    Omran, Saleh
    Masmali, Ibtisam
    AIMS MATHEMATICS, 2021, 6 (09): : 10192 - 10206
  • [9] Common Fixed Point Theorems in C*-algebra-valued Hexagonal b-Metric Spaces
    Kalpana, G.
    Tasneem, Z. Sumaiya
    RECENT DEVELOPMENTS IN MATHEMATICAL ANALYSIS AND COMPUTING, 2019, 2095
  • [10] C*-ALGEBRA-VALUED RECTANGULAR b-METRIC SPACES AND SOME FIXED POINT THEOREMS
    Kalpana, G.
    Tasneem, Z. Sumaiya
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 2198 - 2208