Common Fixed Point Results in Bicomplex Valued Metric Spaces with Application

被引:3
|
作者
Albargi, Amer Hassan [1 ]
Shammaky, Amnah Essa [2 ]
Ahmad, Jamshaid [3 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] Jazan Univ, Fac Sci, Dept Math, Jazan 45142, Saudi Arabia
[3] Univ Jeddah, Dept Math, POB 80327, Jeddah 21589, Saudi Arabia
关键词
common fixed point; generalized contractions; bicomplex valued metric space; Urysohn integral equation; RATIONAL CONTRACTIONS; THEOREMS; MAPPINGS;
D O I
10.3390/math11051207
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this paper is to establish common fixed points of six mappings in the context of bicomplex valued metric spaces. In this way, we generalize some previous well-known results from the literature. Moreover, we provide a non-trivial example to demonstrate the authenticity of established outcomes. As an application, we investigate the solution of an Urysohn integral equation by applying our results.
引用
收藏
页数:20
相关论文
共 50 条
  • [1] 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
  • [2] Fixed point in bicomplex valued metric spaces
    Beg, Ismat
    Datta, Sanjib Kumar
    Pal, Dipankar
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 717 - 727
  • [3] Common fixed point theorems for multi-valued mappings in bicomplex valued metric spaces with application
    Abdou, Afrah Ahmad Noman
    AIMS MATHEMATICS, 2023, 8 (09): : 20154 - 20168
  • [4] Solving the Fredholm Integral Equation by Common Fixed Point Results in Bicomplex Valued Metric Spaces
    Abdou, Afrah Ahmad Noman
    MATHEMATICS, 2023, 11 (14)
  • [5] Some fixed point results in ordered bicomplex-valued metric spaces
    Abdalla, Mohamed
    Mostefaoui, Zahia
    He, Fuli
    RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA, 2021, 12 (02): : 201 - 219
  • [6] 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
  • [7] FIXED POINT RESULTS IN COMPLEX VALUED METRIC SPACES WITH AN APPLICATION
    Rashwan, Rashwan A.
    Hammad, Hasanen A.
    Guran, Liliana
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (02): : 237 - 247
  • [8] Solving System of Linear Equations Using Common Fixed Point Theorems in Bicomplex Valued Metric Spaces
    Shammaky, Amnah Essa
    Ahmad, Jamshaid
    MATHEMATICS, 2023, 11 (20)
  • [9] Common fixed point theorems under rational contractions for a pair of mappings in bicomplex valued metric spaces
    Jebril, Iqbal H.
    Datta, Sanjib Kumar
    Sarkar, Rakesh
    Biswas, Nityagopal
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2019, 22 (07) : 1071 - 1082
  • [10] Common Fixed Point Results on Complex Valued G(b)-Metric Spaces
    Ege, Ozgur
    Karaca, Ismet
    THAI JOURNAL OF MATHEMATICS, 2018, 16 (03): : 775 - 787