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 36 条
  • [11] On some results of analysis for fuzzy metric spaces
    George, A
    Veeramani, P
    [J]. FUZZY SETS AND SYSTEMS, 1997, 90 (03) : 365 - 368
  • [12] FIXED-POINTS IN FUZZY METRIC-SPACES
    GRABIEC, M
    [J]. FUZZY SETS AND SYSTEMS, 1988, 27 (03) : 385 - 389
  • [13] On fixed-point theorems in fuzzy metric spaces
    Gregori, V
    Sapena, A
    [J]. FUZZY SETS AND SYSTEMS, 2002, 125 (02) : 245 - 252
  • [14] Hall R.D., 1999, ORG STRUCTURES PROCE
  • [15] Istratescu V, 1974, INTRO THEORY PROBABI
  • [16] Best Proximity Point Theorems for p-Cyclic Meir-Keeler Contractions
    Karpagam, S.
    Agrawal, Sushama
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [17] KRAMOSIL I, 1975, KYBERNETIKA, V11, P336
  • [18] Various Suzuki type theorems in b-metric spaces
    Latif, A.
    Parvaneh, V.
    Salimi, P.
    Al-Mazrooei, A. E.
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (04): : 363 - 377
  • [19] A parametric level set based collage method for an inverse problem in elliptic partial differential equations
    Lin, Guangliang
    Cheng, Xiaoliang
    Zhang, Ye
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 340 : 101 - 121
  • [20] From G-Completeness to M-Completeness
    Mecheraoui, Rachid
    Mukheimer, Aiman
    Radenovic, Stojan
    [J]. SYMMETRY-BASEL, 2019, 11 (07):
1234