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 27 条
[1]   Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications [J].
Ahmad, Jamshaid ;
Klin-Eam, Chakkrid ;
Azam, Akbar .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[2]   RETRACTED: Common α-Fuzzy Fixed Point Results for Kannan Type Contractions with Application (Retracted Article) [J].
Albargi, Amer Hassan ;
Ahmad, Jamshaid .
JOURNAL OF FUNCTION SPACES, 2022, 2022
[3]   Common fixed point theorems for multi-valued mappings in complex-valued metric spaces [J].
Azam, Akbar ;
Ahmad, Jamshaid ;
Kumam, Poom .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[4]   COMMON FIXED POINT THEOREMS IN COMPLEX VALUED METRIC SPACES [J].
Azam, Akbar ;
Fisher, Brian ;
Khan, M. .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (03) :243-253
[5]   Fixed point in bicomplex valued metric spaces [J].
Beg, Ismat ;
Datta, Sanjib Kumar ;
Pal, Dipankar .
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02) :717-727
[6]  
Choi J, 2017, HONAM MATH J, V39, P115, DOI 10.5831/HMJ.2017.39.1.115
[7]   Solving system of linear equations via bicomplex valued metric space [J].
Gnanaprakasam, Arul Joseph ;
Boulaaras, Salah Mahmoud ;
Mani, Gunaseelan ;
Cherif, Bahri ;
Idris, Sahar Ahmed .
DEMONSTRATIO MATHEMATICA, 2021, 54 (01) :474-487
[8]   Solving a System of Nonlinear Integral Equations via Common Fixed Point Theorems on Bicomplex Partial Metric Space [J].
Gu, Zhaohui ;
Mani, Gunaseelan ;
Gnanaprakasam, Arul Joseph ;
Li, Yongjin .
MATHEMATICS, 2021, 9 (14)
[9]   Common Fixed Point Results for Fuzzy Mappings on Complex-Valued Metric Spaces with Homotopy Results [J].
Humaira ;
Sarwar, Muhammad ;
Kumam, Poom .
SYMMETRY-BASEL, 2019, 11 (01)
[10]   Fuzzy Fixed Point Results For Φ Contractive Mapping with Applications [J].
Humaira ;
Sarwar, Muhammad ;
Kishore, G. N. V. .
COMPLEXITY, 2018,