FIXED POINT RESULTS IN COMPLEX VALUED METRIC SPACES WITH AN APPLICATION

被引:0
作者
Rashwan, Rashwan A. [1 ]
Hammad, Hasanen A. [2 ]
Guran, Liliana [3 ]
机构
[1] Assiut Univ, Fac Sci, Dept Math, Assiut 71516, Egypt
[2] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
[3] Vasile Goldis Western Univ, Fac Farmacy, Dept Pharmaceut Sci, Arad 310045, Romania
来源
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2021年 / 36卷 / 02期
关键词
Single-valued mappings; complex valued metric spaces; common fixed point; nonlinear integral equations; THEOREMS;
D O I
10.22190/FUMI190313018R
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce fixed point theorem for a general contractive condition in complex valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we find a unique solution for Urysohn integral equations and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. [2] and some other known results in the literature.
引用
收藏
页码:237 / 247
页数:11
相关论文
共 23 条
[1]   Boyd-Wong-type common fixed point results in cone metric spaces [J].
Arandjelovic, Ivan ;
Kadelburg, Zoran ;
Radenovic, Stojan .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (17) :7167-7171
[2]  
Arshad M., 2017, J ANA NUM THEORY, V5, P73, DOI DOI 10.18576/JANT/050111
[3]   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
[4]  
Bhatt S., 2011, Int. J. Math. Sci. Appl, V1, P1385
[5]   ON NONLINEAR CONTRACTIONS [J].
BOYD, DW ;
WONG, JSW .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :458-&
[6]  
Chandok S., 2013, J. Oper, V2013, P813707, DOI [10.1155/2013/813707, DOI 10.1155/2013/813707]
[7]  
Datta S.K., 2012, International Journal of Advanced Scientific and Technical Research, V6, P467
[8]  
Dubey A.K., 2016, J COMPLEX ANAL, V2016, P1, DOI [10.1155/2016/9786063, DOI 10.1155/2016/9786063]
[9]  
Dugundji J., 1982, FIXED POINT THEOR-RO
[10]  
Kirk W. A., 2001, HDB METRIC FIXED POI