Fixed points and coupled fixed points in b-metric spaces via graphical contractions

被引:3
作者
Bota, Monica-felicia [1 ]
Guran, Liliana [2 ]
Petrusel, Gabriela [3 ]
机构
[1] Babes Bolyai Univ Cluj Napoca, Dept Math, M Kogalniceanu St 1, Cluj Napoca 400084, Romania
[2] Vasile Goldis Western Univ Arad, Dept Pharmaceut Sci Arad, Vasile Goldis, L Rebreanu St 86, Arad 310048, Romania
[3] Babes Bolyai Univ Cluj Napoca, Dept Business, Horea St 7, Cluj Napoca, Romania
关键词
Fixed point; b-metric space; vector-valued b-metric space; coupled fixed point; THEOREMS;
D O I
10.37193/CJM.2023.01.05
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper some existence and stability results for cyclic graphical contractions in complete metric spaces are given. An application to a coupled fixed point problem is also derived.
引用
收藏
页码:85 / 94
页数:10
相关论文
共 20 条
[1]  
Bakhtin I.A., 1989, FUNCT ANAL GOS PED I, V30, P26, DOI DOI 10.1039/AP9892600037
[2]  
Berinde V., 1993, SEMINAR FIXED POINT, V3, P3
[3]   The early developments in fixed point theory on b-metric spaces: a brief survey and some important related aspects [J].
Berinde, Vasile ;
Pacurar, Madalina .
CARPATHIAN JOURNAL OF MATHEMATICS, 2022, 38 (03) :523-538
[4]   Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces [J].
Berinde, Vasile .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (18) :7347-7355
[5]  
Bota M, 2011, FIXED POINT THEOR-RO, V12, P21
[6]  
Czerwik S., 1993, ACTA MATH INF U OSTR, V1, P5
[7]   COUPLED FIXED-POINTS OF NONLINEAR OPERATORS WITH APPLICATIONS [J].
GUO, D ;
LAKSHMIKANTHAM, V .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (05) :623-632
[8]   Fixed Point Theory in Distance Spaces [J].
Cobzas, S. .
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2015, 60 (01) :143-143
[9]  
Kirk W.A., 2003, FIXED POINT THEOR-RO, V4, P79
[10]   Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces [J].
Lakshmikantham, V. ;
Ciric, Ljubomir .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (12) :4341-4349