Best proximity points in non-Archimedean fuzzy metric spaces with application to domain of words

被引:2
|
作者
Ali, Basit [1 ]
Ali, Muzammil [1 ]
Hussain, Azhar [2 ]
George, Reny [3 ]
Nazir, Talat [4 ]
机构
[1] Univ Management & Technol, Sch Sci, Dept Math, C-2, Lahore 54770, Pakistan
[2] Univ Chakwal, Dept Math, Chakwal 48800, Pakistan
[3] Prince Sattam bin Abdulaziz Univ, Coll Sci & Humanities AlKharj, Dept Math, Al Kharj 11942, Saudi Arabia
[4] Univ South Africa, Dept Math Sci, ZA-0003 Florida, South Africa
来源
AIMS MATHEMATICS | 2022年 / 7卷 / 09期
关键词
best proximity point; quasi; -contraction; fuzzy contractive mapping; CONTRACTIVE MAPPINGS; FIXED-POINTS; THEOREMS; EXISTENCE;
D O I
10.3934/math.2022909
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with the existence and uniqueness of the best proximity points of nonself-mappings in the context of non-Archimedean fuzzy metric spaces. The existence of different proximal quasi-contractive mappings allowed us to generalize some results concerning the existence and uniqueness of the best proximity points in the existing literature. Moreover, an application in computer science, particularly in the domain of words has been provided.
引用
收藏
页码:16590 / 16611
页数:22
相关论文
共 50 条
  • [1] BEST PROXIMITY POINTS IN NON-ARCHIMEDEAN FUZZY METRIC SPACES
    Murthy, Penumarthy Parvateesam
    Kenvat, Rashmi
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2015, 30 (04): : 479 - 488
  • [2] Non-Archimedean fuzzy metric spaces and best proximity point theorems
    Paknazar, Mohadeseh
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2018, 9 (01): : 85 - 112
  • [3] Best Proximity Point Results in Non-Archimedean Fuzzy Metric Spaces
    Vetro, Calogero
    Salimi, Peyman
    FUZZY INFORMATION AND ENGINEERING, 2013, 5 (04) : 417 - 429
  • [4] On Optimal Fuzzy Best Proximity Coincidence Points of Proximal Contractions Involving Cyclic Mappings in Non-Archimedean Fuzzy Metric Spaces
    De la Sen, Manuel
    Abbas, Mujahid
    Saleem, Naeem
    MATHEMATICS, 2017, 5 (02)
  • [5] Fixed points in weak non-Archimedean fuzzy metric spaces
    Vetro, Calogero
    FUZZY SETS AND SYSTEMS, 2011, 162 (01) : 84 - 90
  • [6] OPTIMAL COINCIDENCE BEST APPROXIMATION SOLUTION IN NON-ARCHIMEDEAN FUZZY METRIC SPACES
    Saleem, N.
    Abbas, M.
    Raza, Z.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2016, 13 (03): : 113 - 124
  • [7] On optimal fuzzy best proximity coincidence points of fuzzy order preserving proximal Ψ(σ, α)-lower-bounding asymptotically contractive mappings in non-Archimedean fuzzy metric spaces
    De la Sen, Manuel
    Abbas, Mujahid
    Saleem, Naeem
    SPRINGERPLUS, 2016, 5
  • [8] Common fixed points for generalized ψ-contractions in weak non-Archimedean fuzzy metric spaces
    Suantai, Suthep
    Cho, Yeol Je
    Tiamme, Jukrapong
    APPLIED GENERAL TOPOLOGY, 2019, 20 (01): : 1 - 18
  • [9] Suzuki type theorems in triangular and non-Archimedean fuzzy metric spaces with application
    Nawab Hussain
    Masoomeh Hezarjaribi
    Peyman Salimi
    Fixed Point Theory and Applications, 2015
  • [10] COMMON BEST PROXIMITY POINTS FOR PROXIMALLY COMMUTING MAPPINGS IN NON-ARCHIMEDEAN PM-SPACES
    Anastassiou, George A.
    Cho, Yeol Je
    Saadati, Reza
    Yang, Young-Oh
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (06) : 1021 - 1030