Common fixed point results for set-valued integral type contractions on metric spaces with directed graph

被引:0
作者
Benchabane, Saadia [1 ]
Djebali, Smail [1 ,2 ]
Nazir, Talat [3 ,4 ]
机构
[1] Ecole Normale Super, Lab Theorie Point Fixe & Applicat, BP 92 Kouba, Algiers 16006, Algeria
[2] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math, PB 90950, Riyadh 11623, Saudi Arabia
[3] Univ Islamabad, Dept Math, COMSATS, Abbottabad Campus, Abbottabad 22060, Pakistan
[4] Univ South Africa, Dept Math Sci, Florida Campus, ZA-1709 Johannesburg, South Africa
来源
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2020年 / 13卷 / 05期
关键词
Common fixed point; multi-valued mapping; graphic contraction; directed graph; MAPPINGS; PRINCIPLE;
D O I
10.29020/nybg.ejpam.v13i5.3747
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to establish new common fixed point results for multivalued integral type contraction mappings on a family of sets endowed with a graph. The obtained results generalize several recent ones. An example of application is included to illustrate the main existence theorem.
引用
收藏
页码:1072 / 1087
页数:16
相关论文
共 50 条
  • [21] Common Fixed Point Theorems of Single and Set-Valued Mappings on 2-Metric Spaces
    Abd El-Monsef, M. E.
    Abu-Donia, H. M.
    Abd-Rabou, Kh.
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2007, 1 (02): : 185 - 194
  • [22] Common fixed points of set-valued mappings in hyperconvex metric spaces
    Balaj, M.
    Jorquera, E. D.
    Khamsi, M. A.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
  • [23] Approximate Endpoints for Set-Valued Contractions in Metric Spaces
    Hussain, N.
    Amini-Harandi, A.
    Cho, Y. J.
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [24] Approximate Endpoints for Set-Valued Contractions in Metric Spaces
    N Hussain
    A Amini-Harandi
    YJ Cho
    Fixed Point Theory and Applications, 2010
  • [25] Common Fixed Point Results in Complex Valued Metric Spaces with Application to Integral Equations
    Hussain, N.
    Azam, Akbar
    Ahmad, Jamshaid
    Arshad, Muhammad
    FILOMAT, 2014, 28 (07) : 1363 - 1380
  • [26] On common fixed point results in bicomplex valued metric spaces with application
    Tassaddiq, Asifa
    Ahmad, Jamshaid
    Al-Mazrooei, Abdullah Eqal
    Lateef, Durdana
    Lakhani, Farha
    AIMS MATHEMATICS, 2023, 8 (03): : 5522 - 5539
  • [27] ON Ψ-CONTRACTIONS AND COMMON FIXED POINT RESULTS IN PROBABILISTIC METRIC SPACES
    Tian, Jingfeng
    Hu, Ximei
    O'Regan, Donal
    FIXED POINT THEORY, 2020, 21 (01): : 319 - 337
  • [28] Common Fixed Point Results in Bicomplex Valued Metric Spaces with Application
    Albargi, Amer Hassan
    Shammaky, Amnah Essa
    Ahmad, Jamshaid
    MATHEMATICS, 2023, 11 (05)
  • [29] ITERATIVE ALGORITHMS AND FIXED POINT THEOREMS FOR SET-VALUED G-CONTRACTIONS IN GRAPHICAL CONVEX METRIC SPACES
    Chen, Lili
    Jiang, Yunyi
    Zhao, Yanfeng
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (06): : 3558 - 3580
  • [30] Fixed point and stability results for multi-valued nonlinear graph contractions in complete metric spaces
    Moga, Madalina
    Trusca, Radu
    JOURNAL OF ANALYSIS, 2025, 33 (02) : 717 - 742