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

页码：16590 / 16611

页数：22

共 36 条

[1] Periodic points of T-Ciric generalized contraction mappings in ordered metric spaces
Abbas, Mujahid
Parvaneh, Vahid
Razani, Abdolrahman
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2012, 19 (04) : 597 - 610
[2] Amini-Harandi A, 2015, IRAN J FUZZY SYST, V12, P147
[3] Banach S., 1922, Fund. Math, V3, P133, DOI [DOI 10.4064/FM-3-1-133-181, 10.4064/fm-3-1-133-181]
[4] Best proximity point theorems
Basha, S. Sadiq
[J]. JOURNAL OF APPROXIMATION THEORY, 2011, 163 (11) : 1772 - 1781
[5] GENERALIZATION OF BANACHS CONTRACTION PRINCIPLE
CIRIC, LB
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) : 267 - 273
[6] Best proximity points for cyclic Meir-Keeler contractions
Di Bari, Cristina
Suzuki, Tomonari
Vetro, Calogero
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 3790 - 3794
[7] Existence and convergence of best proximity points
Eldred, A. Anthony
Veeramani, P.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 1001 - 1006
[8] EXTENSIONS OF 2 FIXED POINT THEOREMS OF BROWDER,FE
FAN, K
[J]. MATHEMATISCHE ZEITSCHRIFT, 1969, 112 (03) : 234 - &
[9] FLAJOLET P, 1992, LECT NOTES COMPUT SC, V623, P186
[10] ON SOME RESULTS IN FUZZY METRIC-SPACES
GEORGE, A
VEERAMANI, P
[J]. FUZZY SETS AND SYSTEMS, 1994, 64 (03) : 395 - 399

← 1 2 3 4 →