Generalization and Properties of κ-Intuitionistic Fuzzy Metric Spaces with Applications to Fixed-Point Theorems

被引:0
作者
Vinoth, R. [1 ]
Jayalakshmi, M. [1 ]
机构
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore, India
来源
CONTEMPORARY MATHEMATICS | 2025年 / 6卷 / 01期
关键词
kappa-intuitionistic fuzzy metric spaces; intuitionistic fuzzy metric space; intuitionistic Banach fixed-point theorem; Hausdorff spaces;
D O I
10.37256/cm.6120255998
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This study introduces kappa-intuitionistic fuzzy metric spaces, significantly broadening the scope of intuitionistic fuzzy metric spaces. This framework offers greater flexibility and applicability by incorporating multiple parameters (kappa) into an intuitionistic fuzzy set. The study explores the properties of kappa-intuitionistic fuzzy metric spaces, demonstrating that their topology is first-countable and that the corresponding metric space is Hausdorff. We establish a fixed-point theorem that generalizes and extends existing results for intuitionistic fuzzy metric spaces.
引用
收藏
页码:903 / 922
页数:20
相关论文
共 28 条
[1]  
Ahmad H., 2024, Recent Developments in Fixed-Point Theory: Theoretical Foundations and Real-World Applications, P225, DOI [10.1007/978-981-99-9546-29, DOI 10.1007/978-981-99-9546-29]
[2]   Bipolar b-Metric Spaces in Graph Setting and Related Fixed Points [J].
Ahmad, Haroon ;
Younis, Mudasir ;
Abdou, Afrah Ahmad Noman .
SYMMETRY-BASEL, 2023, 15 (06)
[3]   Double Controlled Partial Metric Type Spaces and Convergence Results [J].
Ahmad, Haroon ;
Younis, Mudasir ;
Koksal, Mehmet Emir .
JOURNAL OF MATHEMATICS, 2021, 2021
[4]   Fixed points in intuitionistic fuzzy metric spaces [J].
Alaca, Cihangir ;
Turkoglu, Duran ;
Yildiz, Cernil .
CHAOS SOLITONS & FRACTALS, 2006, 29 (05) :1073-1078
[5]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[6]   Fast detection and removal of impulsive noise using peer groups and fuzzy metrics [J].
Camarena, Joan-Gerard ;
Gregori, Valentin ;
Morillas, Samuel ;
Sapena, Almanzor .
JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION, 2008, 19 (01) :20-29
[7]  
El Hassnaoui M, 2019, Recent Advances in Intuitionistic Fuzzy Logic Systems: Theoretical Aspects and Applications, P233
[8]   ON SOME RESULTS IN FUZZY METRIC-SPACES [J].
GEORGE, A ;
VEERAMANI, P .
FUZZY SETS AND SYSTEMS, 1994, 64 (03) :395-399
[9]   On some results of analysis for fuzzy metric spaces [J].
George, A ;
Veeramani, P .
FUZZY SETS AND SYSTEMS, 1997, 90 (03) :365-368
[10]   The investigation of k-fuzzy metric spaces with the first contraction principle in such spaces [J].
Gopal, Dhananjay ;
Sintunavarat, Wutiphol ;
Ranadive, Abhay S. ;
Shukla, Satish .
SOFT COMPUTING, 2023, 27 (16) :11081-11089