Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results

被引:2
|
作者
Onbasioglu, Suara [1 ]
Pazar Varol, Banu [1 ]
机构
[1] Kocaeli Univ, Dept Math, TR-41001 Kocaeli, Turkiye
关键词
intuitionistic fuzzy set; metric-like spaces; intuitionistic fuzzy metric-like spaces; fixed-point theory; CONVERGENCE; THEOREMS;
D O I
10.3390/math11081902
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The objective of this paper is to describe the concept of intuitionistic fuzzy metric-like spaces. This space is an extension of metric-like spaces and fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We discuss convergence sequences, contractive mapping and some fixed-point theorems in intuitionistic fuzzy metric-like space. We also give explanations, examples and counterexamples to validate the superiority of these results. Our results provide a substantial extension of several important results from fuzzy metric-like spaces.
引用
收藏
页数:15
相关论文
共 50 条
  • [41] Common fixed-point results for nonlinear contractions in ordered partial metric spaces
    Samet, Bessem
    Rajovic, Miloje
    Lazovic, Rade
    Stojiljkovic, Rade
    FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 14
  • [42] SOME COMMON FIXED-POINT RESULTS IN GENERALIZED F-METRIC SPACES
    Li, Yiquan
    Zhu, Chuanxi
    Xiao, Yingying
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (05): : 2558 - 2571
  • [43] Fixed-Point Results for Meir-Keeler Type Contractions in Partial Metric Spaces: A Survey
    Karapinar, Erdal
    Agarwal, Ravi P.
    Yesilkaya, Seher Sultan
    Wang, Chao
    MATHEMATICS, 2022, 10 (17)
  • [44] On Some Fixed Point Results in E-Fuzzy Metric Spaces
    Mecheraoui, Rachid
    Mitrovi, Zoran D.
    Parvaneh, Vahid
    Aydi, Hassen
    Saleem, Naeem
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [45] Characterizing Complete Fuzzy Metric Spaces Via Fixed Point Results
    Romaguera, Salvador
    Tirado, Pedro
    MATHEMATICS, 2020, 8 (02)
  • [46] GENERALIZED UNIQUE FIXED POINT RESULTS IN GENERALIZED FUZZY METRIC SPACES
    Rehman, Saif ur
    Jaradat, Abeer M. M.
    Akbar, Sidra
    Atta, Sidra
    Damjanovic, Bosko
    Jaradat, Mohammed M. M.
    JOURNAL OF MATHEMATICAL ANALYSIS, 2024, 15 (06): : 30 - 46
  • [47] Controlled fuzzy metric spaces and some related fixed point results
    Sezen, Muzeyyen Sangurlu
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 37 (01) : 583 - 593
  • [48] Fuzzy Triple Controlled Metric Spaces and Related Fixed Point Results
    Furqan, Salman
    Isik, Huseyin
    Saleem, Naeem
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [49] Fixed point results for a pair of fuzzy mappings and related applications in b-metric like spaces
    Rasham, Tahair
    Marino, Giuseppe
    Shahzad, Aqeel
    Park, Choonkill
    Shoaib, Abdullah
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [50] Fixed point theorems for cyclic contractive mappings via altering distance functions in metric-like spaces
    Chen, Jianhua
    Huang, Xianjiu
    Li, Shengjun
    OPEN MATHEMATICS, 2016, 14 : 857 - 874